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Finding the Third Proportional to 126,080 and 257,920

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Solution

The third proportional to 126,080 and 257,920 is: 527,623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,080 : 257,920 = 257,920 : x
  2. Step 2: Convert to fraction form
    126,080/257,920 = 257,920/x
  3. Step 3: Cross multiply
    126,080x = 257,920 × 257,920
  4. Step 4: Simplify right side
    126,080x = 66,522,726,400
  5. Step 5: Solve for x
    x = 66,522,726,400/126,080
  6. Step 6: Final answer
    x = 527,623.15

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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.