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Finding the Third Proportional to 62,659 and 135,170

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Solution

The third proportional to 62,659 and 135,170 is: 291,593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,659 : 135,170 = 135,170 : x
  2. Step 2: Convert to fraction form
    62,659/135,170 = 135,170/x
  3. Step 3: Cross multiply
    62,659x = 135,170 × 135,170
  4. Step 4: Simplify right side
    62,659x = 18,270,928,900
  5. Step 5: Solve for x
    x = 18,270,928,900/62,659
  6. Step 6: Final answer
    x = 291,593.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.