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Finding the Third Proportional to 393,464 and 814,911

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Solution

The third proportional to 393,464 and 814,911 is: 1,687,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,464 : 814,911 = 814,911 : x
  2. Step 2: Convert to fraction form
    393,464/814,911 = 814,911/x
  3. Step 3: Cross multiply
    393,464x = 814,911 × 814,911
  4. Step 4: Simplify right side
    393,464x = 664,079,937,921
  5. Step 5: Solve for x
    x = 664,079,937,921/393,464
  6. Step 6: Final answer
    x = 1,687,778.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.