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Finding the Third Proportional to 85,342 and 135,654

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Solution

The third proportional to 85,342 and 135,654 is: 215,626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,342 : 135,654 = 135,654 : x
  2. Step 2: Convert to fraction form
    85,342/135,654 = 135,654/x
  3. Step 3: Cross multiply
    85,342x = 135,654 × 135,654
  4. Step 4: Simplify right side
    85,342x = 18,402,007,716
  5. Step 5: Solve for x
    x = 18,402,007,716/85,342
  6. Step 6: Final answer
    x = 215,626.63

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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.