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Finding the Third Proportional to 126,264 and 278,772

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Solution

The third proportional to 126,264 and 278,772 is: 615,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,264 : 278,772 = 278,772 : x
  2. Step 2: Convert to fraction form
    126,264/278,772 = 278,772/x
  3. Step 3: Cross multiply
    126,264x = 278,772 × 278,772
  4. Step 4: Simplify right side
    126,264x = 77,713,827,984
  5. Step 5: Solve for x
    x = 77,713,827,984/126,264
  6. Step 6: Final answer
    x = 615,486.82

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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.