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Finding the Third Proportional to 247,400 and 539,234

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Solution

The third proportional to 247,400 and 539,234 is: 1,175,316.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,400 : 539,234 = 539,234 : x
  2. Step 2: Convert to fraction form
    247,400/539,234 = 539,234/x
  3. Step 3: Cross multiply
    247,400x = 539,234 × 539,234
  4. Step 4: Simplify right side
    247,400x = 290,773,306,756
  5. Step 5: Solve for x
    x = 290,773,306,756/247,400
  6. Step 6: Final answer
    x = 1,175,316.52

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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.