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Finding the Third Proportional to 61,540 and 133,880

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Solution

The third proportional to 61,540 and 133,880 is: 291,255.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,540 : 133,880 = 133,880 : x
  2. Step 2: Convert to fraction form
    61,540/133,880 = 133,880/x
  3. Step 3: Cross multiply
    61,540x = 133,880 × 133,880
  4. Step 4: Simplify right side
    61,540x = 17,923,854,400
  5. Step 5: Solve for x
    x = 17,923,854,400/61,540
  6. Step 6: Final answer
    x = 291,255.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.