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Finding the Third Proportional to 87,362 and 138,553

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Solution

The third proportional to 87,362 and 138,553 is: 219,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,362 : 138,553 = 138,553 : x
  2. Step 2: Convert to fraction form
    87,362/138,553 = 138,553/x
  3. Step 3: Cross multiply
    87,362x = 138,553 × 138,553
  4. Step 4: Simplify right side
    87,362x = 19,196,933,809
  5. Step 5: Solve for x
    x = 19,196,933,809/87,362
  6. Step 6: Final answer
    x = 219,740.09

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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.