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Finding the Third Proportional to 247,734 and 393,705

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Solution

The third proportional to 247,734 and 393,705 is: 625,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,734 : 393,705 = 393,705 : x
  2. Step 2: Convert to fraction form
    247,734/393,705 = 393,705/x
  3. Step 3: Cross multiply
    247,734x = 393,705 × 393,705
  4. Step 4: Simplify right side
    247,734x = 155,003,627,025
  5. Step 5: Solve for x
    x = 155,003,627,025/247,734
  6. Step 6: Final answer
    x = 625,685.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.