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Finding the Third Proportional to 312,514 and 442,493

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Solution

The third proportional to 312,514 and 442,493 is: 626,532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,514 : 442,493 = 442,493 : x
  2. Step 2: Convert to fraction form
    312,514/442,493 = 442,493/x
  3. Step 3: Cross multiply
    312,514x = 442,493 × 442,493
  4. Step 4: Simplify right side
    312,514x = 195,800,055,049
  5. Step 5: Solve for x
    x = 195,800,055,049/312,514
  6. Step 6: Final answer
    x = 626,532.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.