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Finding the Third Proportional to 81,498,516 and 123,297,694

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Solution

The third proportional to 81,498,516 and 123,297,694 is: 186,534,946.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,498,516 : 123,297,694 = 123,297,694 : x
  2. Step 2: Convert to fraction form
    81,498,516/123,297,694 = 123,297,694/x
  3. Step 3: Cross multiply
    81,498,516x = 123,297,694 × 123,297,694
  4. Step 4: Simplify right side
    81,498,516x = 15,202,321,345,717,636
  5. Step 5: Solve for x
    x = 15,202,321,345,717,636/81,498,516
  6. Step 6: Final answer
    x = 186,534,946.79

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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.