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Finding the Third Proportional to 78,707,115 and 172,909,854

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Solution

The third proportional to 78,707,115 and 172,909,854 is: 379,861,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,707,115 : 172,909,854 = 172,909,854 : x
  2. Step 2: Convert to fraction form
    78,707,115/172,909,854 = 172,909,854/x
  3. Step 3: Cross multiply
    78,707,115x = 172,909,854 × 172,909,854
  4. Step 4: Simplify right side
    78,707,115x = 29,897,817,610,301,316
  5. Step 5: Solve for x
    x = 29,897,817,610,301,316/78,707,115
  6. Step 6: Final answer
    x = 379,861,688.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.