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Finding the Third Proportional to 771,835,478,788 and 1,167,680,080,003.50

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Solution

The third proportional to 771,835,478,788 and 1,167,680,080,003.50 is: 1,766,538,085,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,835,478,788 : 1,167,680,080,003.50 = 1,167,680,080,003.50 : x
  2. Step 2: Convert to fraction form
    771,835,478,788/1,167,680,080,003.50 = 1,167,680,080,003.50/x
  3. Step 3: Cross multiply
    771,835,478,788x = 1,167,680,080,003.50 × 1,167,680,080,003.50
  4. Step 4: Simplify right side
    771,835,478,788x = 1,363,476,769,236,980,120,682,496
  5. Step 5: Solve for x
    x = 1,363,476,769,236,980,120,682,496/771,835,478,788
  6. Step 6: Final answer
    x = 1,766,538,085,782.25

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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.