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Finding the Third Proportional to 127,550 and 280,249

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Solution

The third proportional to 127,550 and 280,249 is: 615,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,550 : 280,249 = 280,249 : x
  2. Step 2: Convert to fraction form
    127,550/280,249 = 280,249/x
  3. Step 3: Cross multiply
    127,550x = 280,249 × 280,249
  4. Step 4: Simplify right side
    127,550x = 78,539,502,001
  5. Step 5: Solve for x
    x = 78,539,502,001/127,550
  6. Step 6: Final answer
    x = 615,754.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.