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Finding the Third Proportional to 378,726 and 814,674

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Solution

The third proportional to 378,726 and 814,674 is: 1,752,437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,726 : 814,674 = 814,674 : x
  2. Step 2: Convert to fraction form
    378,726/814,674 = 814,674/x
  3. Step 3: Cross multiply
    378,726x = 814,674 × 814,674
  4. Step 4: Simplify right side
    378,726x = 663,693,726,276
  5. Step 5: Solve for x
    x = 663,693,726,276/378,726
  6. Step 6: Final answer
    x = 1,752,437.72

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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.