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Finding the Third Proportional to 378,792 and 814,932

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Solution

The third proportional to 378,792 and 814,932 is: 1,753,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,792 : 814,932 = 814,932 : x
  2. Step 2: Convert to fraction form
    378,792/814,932 = 814,932/x
  3. Step 3: Cross multiply
    378,792x = 814,932 × 814,932
  4. Step 4: Simplify right side
    378,792x = 664,114,164,624
  5. Step 5: Solve for x
    x = 664,114,164,624/378,792
  6. Step 6: Final answer
    x = 1,753,242.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.