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Finding the Third Proportional to 62,890 and 135,580

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Solution

The third proportional to 62,890 and 135,580 is: 292,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,890 : 135,580 = 135,580 : x
  2. Step 2: Convert to fraction form
    62,890/135,580 = 135,580/x
  3. Step 3: Cross multiply
    62,890x = 135,580 × 135,580
  4. Step 4: Simplify right side
    62,890x = 18,381,936,400
  5. Step 5: Solve for x
    x = 18,381,936,400/62,890
  6. Step 6: Final answer
    x = 292,287.11

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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.