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Finding the Third Proportional to 288,532 and 627,872

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Solution

The third proportional to 288,532 and 627,872 is: 1,366,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,532 : 627,872 = 627,872 : x
  2. Step 2: Convert to fraction form
    288,532/627,872 = 627,872/x
  3. Step 3: Cross multiply
    288,532x = 627,872 × 627,872
  4. Step 4: Simplify right side
    288,532x = 394,223,248,384
  5. Step 5: Solve for x
    x = 394,223,248,384/288,532
  6. Step 6: Final answer
    x = 1,366,306.85

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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.