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Finding the Third Proportional to 127,561 and 278,438

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Solution

The third proportional to 127,561 and 278,438 is: 607,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,561 : 278,438 = 278,438 : x
  2. Step 2: Convert to fraction form
    127,561/278,438 = 278,438/x
  3. Step 3: Cross multiply
    127,561x = 278,438 × 278,438
  4. Step 4: Simplify right side
    127,561x = 77,527,719,844
  5. Step 5: Solve for x
    x = 77,527,719,844/127,561
  6. Step 6: Final answer
    x = 607,769.77

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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.