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Finding the Third Proportional to 81,396 and 123,660

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Solution

The third proportional to 81,396 and 123,660 is: 187,869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,396 : 123,660 = 123,660 : x
  2. Step 2: Convert to fraction form
    81,396/123,660 = 123,660/x
  3. Step 3: Cross multiply
    81,396x = 123,660 × 123,660
  4. Step 4: Simplify right side
    81,396x = 15,291,795,600
  5. Step 5: Solve for x
    x = 15,291,795,600/81,396
  6. Step 6: Final answer
    x = 187,869.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.