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Finding the Third Proportional to 285,384 and 614,920

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Solution

The third proportional to 285,384 and 614,920 is: 1,324,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,384 : 614,920 = 614,920 : x
  2. Step 2: Convert to fraction form
    285,384/614,920 = 614,920/x
  3. Step 3: Cross multiply
    285,384x = 614,920 × 614,920
  4. Step 4: Simplify right side
    285,384x = 378,126,606,400
  5. Step 5: Solve for x
    x = 378,126,606,400/285,384
  6. Step 6: Final answer
    x = 1,324,974.79

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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.