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Finding the Third Proportional to 73,656,651 and 102,413,713.50

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Solution

The third proportional to 73,656,651 and 102,413,713.50 is: 142,398,121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,656,651 : 102,413,713.50 = 102,413,713.50 : x
  2. Step 2: Convert to fraction form
    73,656,651/102,413,713.50 = 102,413,713.50/x
  3. Step 3: Cross multiply
    73,656,651x = 102,413,713.50 × 102,413,713.50
  4. Step 4: Simplify right side
    73,656,651x = 10,488,568,712,860,082
  5. Step 5: Solve for x
    x = 10,488,568,712,860,082/73,656,651
  6. Step 6: Final answer
    x = 142,398,121.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.