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Finding the Third Proportional to 127,781 and 280,165

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Solution

The third proportional to 127,781 and 280,165 is: 614,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,781 : 280,165 = 280,165 : x
  2. Step 2: Convert to fraction form
    127,781/280,165 = 280,165/x
  3. Step 3: Cross multiply
    127,781x = 280,165 × 280,165
  4. Step 4: Simplify right side
    127,781x = 78,492,427,225
  5. Step 5: Solve for x
    x = 78,492,427,225/127,781
  6. Step 6: Final answer
    x = 614,273.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.