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Finding the Third Proportional to 378,724 and 814,670

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Solution

The third proportional to 378,724 and 814,670 is: 1,752,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,724 : 814,670 = 814,670 : x
  2. Step 2: Convert to fraction form
    378,724/814,670 = 814,670/x
  3. Step 3: Cross multiply
    378,724x = 814,670 × 814,670
  4. Step 4: Simplify right side
    378,724x = 663,687,208,900
  5. Step 5: Solve for x
    x = 663,687,208,900/378,724
  6. Step 6: Final answer
    x = 1,752,429.76

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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.