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Finding the Third Proportional to 126,117 and 278,478

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Solution

The third proportional to 126,117 and 278,478 is: 614,905.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,117 : 278,478 = 278,478 : x
  2. Step 2: Convert to fraction form
    126,117/278,478 = 278,478/x
  3. Step 3: Cross multiply
    126,117x = 278,478 × 278,478
  4. Step 4: Simplify right side
    126,117x = 77,549,996,484
  5. Step 5: Solve for x
    x = 77,549,996,484/126,117
  6. Step 6: Final answer
    x = 614,905.18

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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.