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Finding the Third Proportional to 81,498,512 and 123,297,688

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Solution

The third proportional to 81,498,512 and 123,297,688 is: 186,534,937.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,498,512 : 123,297,688 = 123,297,688 : x
  2. Step 2: Convert to fraction form
    81,498,512/123,297,688 = 123,297,688/x
  3. Step 3: Cross multiply
    81,498,512x = 123,297,688 × 123,297,688
  4. Step 4: Simplify right side
    81,498,512x = 15,202,319,866,145,344
  5. Step 5: Solve for x
    x = 15,202,319,866,145,344/81,498,512
  6. Step 6: Final answer
    x = 186,534,937.79

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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.