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Finding the Third Proportional to 127,530 and 278,373

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Solution

The third proportional to 127,530 and 278,373 is: 607,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,530 : 278,373 = 278,373 : x
  2. Step 2: Convert to fraction form
    127,530/278,373 = 278,373/x
  3. Step 3: Cross multiply
    127,530x = 278,373 × 278,373
  4. Step 4: Simplify right side
    127,530x = 77,491,527,129
  5. Step 5: Solve for x
    x = 77,491,527,129/127,530
  6. Step 6: Final answer
    x = 607,633.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.