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Finding the Third Proportional to 127,484 and 280,134

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Solution

The third proportional to 127,484 and 280,134 is: 615,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,484 : 280,134 = 280,134 : x
  2. Step 2: Convert to fraction form
    127,484/280,134 = 280,134/x
  3. Step 3: Cross multiply
    127,484x = 280,134 × 280,134
  4. Step 4: Simplify right side
    127,484x = 78,475,057,956
  5. Step 5: Solve for x
    x = 78,475,057,956/127,484
  6. Step 6: Final answer
    x = 615,567.90

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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.