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Finding the Third Proportional to 778,079,808 and 1,680,392,425.50

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Solution

The third proportional to 778,079,808 and 1,680,392,425.50 is: 3,629,086,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,079,808 : 1,680,392,425.50 = 1,680,392,425.50 : x
  2. Step 2: Convert to fraction form
    778,079,808/1,680,392,425.50 = 1,680,392,425.50/x
  3. Step 3: Cross multiply
    778,079,808x = 1,680,392,425.50 × 1,680,392,425.50
  4. Step 4: Simplify right side
    778,079,808x = 2,823,718,703,677,772,800
  5. Step 5: Solve for x
    x = 2,823,718,703,677,772,800/778,079,808
  6. Step 6: Final answer
    x = 3,629,086,212.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.