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Finding the Third Proportional to 247,478 and 539,384

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Solution

The third proportional to 247,478 and 539,384 is: 1,175,599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,478 : 539,384 = 539,384 : x
  2. Step 2: Convert to fraction form
    247,478/539,384 = 539,384/x
  3. Step 3: Cross multiply
    247,478x = 539,384 × 539,384
  4. Step 4: Simplify right side
    247,478x = 290,935,099,456
  5. Step 5: Solve for x
    x = 290,935,099,456/247,478
  6. Step 6: Final answer
    x = 1,175,599.85

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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.