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Finding the Third Proportional to 128,215 and 278,542

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Solution

The third proportional to 128,215 and 278,542 is: 605,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,215 : 278,542 = 278,542 : x
  2. Step 2: Convert to fraction form
    128,215/278,542 = 278,542/x
  3. Step 3: Cross multiply
    128,215x = 278,542 × 278,542
  4. Step 4: Simplify right side
    128,215x = 77,585,645,764
  5. Step 5: Solve for x
    x = 77,585,645,764/128,215
  6. Step 6: Final answer
    x = 605,121.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.