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Finding the Third Proportional to 378,744 and 814,710

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Solution

The third proportional to 378,744 and 814,710 is: 1,752,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,744 : 814,710 = 814,710 : x
  2. Step 2: Convert to fraction form
    378,744/814,710 = 814,710/x
  3. Step 3: Cross multiply
    378,744x = 814,710 × 814,710
  4. Step 4: Simplify right side
    378,744x = 663,752,384,100
  5. Step 5: Solve for x
    x = 663,752,384,100/378,744
  6. Step 6: Final answer
    x = 1,752,509.30

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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.