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Finding the Third Proportional to 771,835,478,780 and 1,167,680,079,991.50

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Solution

The third proportional to 771,835,478,780 and 1,167,680,079,991.50 is: 1,766,538,085,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,835,478,780 : 1,167,680,079,991.50 = 1,167,680,079,991.50 : x
  2. Step 2: Convert to fraction form
    771,835,478,780/1,167,680,079,991.50 = 1,167,680,079,991.50/x
  3. Step 3: Cross multiply
    771,835,478,780x = 1,167,680,079,991.50 × 1,167,680,079,991.50
  4. Step 4: Simplify right side
    771,835,478,780x = 1,363,476,769,208,955,727,511,552
  5. Step 5: Solve for x
    x = 1,363,476,769,208,955,727,511,552/771,835,478,780
  6. Step 6: Final answer
    x = 1,766,538,085,764.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.