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Finding the Third Proportional to 61,344 and 132,720

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Solution

The third proportional to 61,344 and 132,720 is: 287,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,344 : 132,720 = 132,720 : x
  2. Step 2: Convert to fraction form
    61,344/132,720 = 132,720/x
  3. Step 3: Cross multiply
    61,344x = 132,720 × 132,720
  4. Step 4: Simplify right side
    61,344x = 17,614,598,400
  5. Step 5: Solve for x
    x = 17,614,598,400/61,344
  6. Step 6: Final answer
    x = 287,144.60

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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.