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Finding the Third Proportional to 126,418 and 279,080

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Solution

The third proportional to 126,418 and 279,080 is: 616,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,418 : 279,080 = 279,080 : x
  2. Step 2: Convert to fraction form
    126,418/279,080 = 279,080/x
  3. Step 3: Cross multiply
    126,418x = 279,080 × 279,080
  4. Step 4: Simplify right side
    126,418x = 77,885,646,400
  5. Step 5: Solve for x
    x = 77,885,646,400/126,418
  6. Step 6: Final answer
    x = 616,096.18

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.