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Finding the Third Proportional to 86,581 and 138,317

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Solution

The third proportional to 86,581 and 138,317 is: 220,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,581 : 138,317 = 138,317 : x
  2. Step 2: Convert to fraction form
    86,581/138,317 = 138,317/x
  3. Step 3: Cross multiply
    86,581x = 138,317 × 138,317
  4. Step 4: Simplify right side
    86,581x = 19,131,592,489
  5. Step 5: Solve for x
    x = 19,131,592,489/86,581
  6. Step 6: Final answer
    x = 220,967.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.