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Finding the Third Proportional to 247,624 and 393,903

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Solution

The third proportional to 247,624 and 393,903 is: 626,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,624 : 393,903 = 393,903 : x
  2. Step 2: Convert to fraction form
    247,624/393,903 = 393,903/x
  3. Step 3: Cross multiply
    247,624x = 393,903 × 393,903
  4. Step 4: Simplify right side
    247,624x = 155,159,573,409
  5. Step 5: Solve for x
    x = 155,159,573,409/247,624
  6. Step 6: Final answer
    x = 626,593.44

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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.