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Finding the Third Proportional to 61,591 and 135,305

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Solution

The third proportional to 61,591 and 135,305 is: 297,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,591 : 135,305 = 135,305 : x
  2. Step 2: Convert to fraction form
    61,591/135,305 = 135,305/x
  3. Step 3: Cross multiply
    61,591x = 135,305 × 135,305
  4. Step 4: Simplify right side
    61,591x = 18,307,443,025
  5. Step 5: Solve for x
    x = 18,307,443,025/61,591
  6. Step 6: Final answer
    x = 297,242.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.