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Finding the Third Proportional to 126,208 and 278,672

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Solution

The third proportional to 126,208 and 278,672 is: 615,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,208 : 278,672 = 278,672 : x
  2. Step 2: Convert to fraction form
    126,208/278,672 = 278,672/x
  3. Step 3: Cross multiply
    126,208x = 278,672 × 278,672
  4. Step 4: Simplify right side
    126,208x = 77,658,083,584
  5. Step 5: Solve for x
    x = 77,658,083,584/126,208
  6. Step 6: Final answer
    x = 615,318.23

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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.