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Finding the Third Proportional to 85,412 and 135,720

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Solution

The third proportional to 85,412 and 135,720 is: 215,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,412 : 135,720 = 135,720 : x
  2. Step 2: Convert to fraction form
    85,412/135,720 = 135,720/x
  3. Step 3: Cross multiply
    85,412x = 135,720 × 135,720
  4. Step 4: Simplify right side
    85,412x = 18,419,918,400
  5. Step 5: Solve for x
    x = 18,419,918,400/85,412
  6. Step 6: Final answer
    x = 215,659.61

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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.