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Finding the Third Proportional to 137,228 and 278,272

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Solution

The third proportional to 137,228 and 278,272 is: 564,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,228 : 278,272 = 278,272 : x
  2. Step 2: Convert to fraction form
    137,228/278,272 = 278,272/x
  3. Step 3: Cross multiply
    137,228x = 278,272 × 278,272
  4. Step 4: Simplify right side
    137,228x = 77,435,305,984
  5. Step 5: Solve for x
    x = 77,435,305,984/137,228
  6. Step 6: Final answer
    x = 564,282.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.