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Finding the Third Proportional to 393,624 and 862,902

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Solution

The third proportional to 393,624 and 862,902 is: 1,891,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,624 : 862,902 = 862,902 : x
  2. Step 2: Convert to fraction form
    393,624/862,902 = 862,902/x
  3. Step 3: Cross multiply
    393,624x = 862,902 × 862,902
  4. Step 4: Simplify right side
    393,624x = 744,599,861,604
  5. Step 5: Solve for x
    x = 744,599,861,604/393,624
  6. Step 6: Final answer
    x = 1,891,652.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.