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Finding the Third Proportional to 61,500 and 125,880

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Solution

The third proportional to 61,500 and 125,880 is: 257,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,500 : 125,880 = 125,880 : x
  2. Step 2: Convert to fraction form
    61,500/125,880 = 125,880/x
  3. Step 3: Cross multiply
    61,500x = 125,880 × 125,880
  4. Step 4: Simplify right side
    61,500x = 15,845,774,400
  5. Step 5: Solve for x
    x = 15,845,774,400/61,500
  6. Step 6: Final answer
    x = 257,654.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.