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Finding the Third Proportional to 247,000 and 532,400

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Solution

The third proportional to 247,000 and 532,400 is: 1,147,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,000 : 532,400 = 532,400 : x
  2. Step 2: Convert to fraction form
    247,000/532,400 = 532,400/x
  3. Step 3: Cross multiply
    247,000x = 532,400 × 532,400
  4. Step 4: Simplify right side
    247,000x = 283,449,760,000
  5. Step 5: Solve for x
    x = 283,449,760,000/247,000
  6. Step 6: Final answer
    x = 1,147,569.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.