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Finding the Third Proportional to 127,476 and 280,122

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Solution

The third proportional to 127,476 and 280,122 is: 615,553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,476 : 280,122 = 280,122 : x
  2. Step 2: Convert to fraction form
    127,476/280,122 = 280,122/x
  3. Step 3: Cross multiply
    127,476x = 280,122 × 280,122
  4. Step 4: Simplify right side
    127,476x = 78,468,334,884
  5. Step 5: Solve for x
    x = 78,468,334,884/127,476
  6. Step 6: Final answer
    x = 615,553.79

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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.