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Finding the Third Proportional to 59,981 and 138,857

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Solution

The third proportional to 59,981 and 138,857 is: 321,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,981 : 138,857 = 138,857 : x
  2. Step 2: Convert to fraction form
    59,981/138,857 = 138,857/x
  3. Step 3: Cross multiply
    59,981x = 138,857 × 138,857
  4. Step 4: Simplify right side
    59,981x = 19,281,266,449
  5. Step 5: Solve for x
    x = 19,281,266,449/59,981
  6. Step 6: Final answer
    x = 321,456.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.