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Finding the Third Proportional to 439.70 and 814.52

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Solution

The third proportional to 439.70 and 814.52 is: 1,508.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.70 : 814.52 = 814.52 : x
  2. Step 2: Convert to fraction form
    439.70/814.52 = 814.52/x
  3. Step 3: Cross multiply
    439.70x = 814.52 × 814.52
  4. Step 4: Simplify right side
    439.70x = 663,440.67
  5. Step 5: Solve for x
    x = 663,440.67/439.70
  6. Step 6: Final answer
    x = 1,508.86

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.