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Finding the Third Proportional to 87,365 and 138,554

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Solution

The third proportional to 87,365 and 138,554 is: 219,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,365 : 138,554 = 138,554 : x
  2. Step 2: Convert to fraction form
    87,365/138,554 = 138,554/x
  3. Step 3: Cross multiply
    87,365x = 138,554 × 138,554
  4. Step 4: Simplify right side
    87,365x = 19,197,210,916
  5. Step 5: Solve for x
    x = 19,197,210,916/87,365
  6. Step 6: Final answer
    x = 219,735.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.