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Finding the Third Proportional to 582.19 and 814.31

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Solution

The third proportional to 582.19 and 814.31 is: 1,138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.19 : 814.31 = 814.31 : x
  2. Step 2: Convert to fraction form
    582.19/814.31 = 814.31/x
  3. Step 3: Cross multiply
    582.19x = 814.31 × 814.31
  4. Step 4: Simplify right side
    582.19x = 663,104.85
  5. Step 5: Solve for x
    x = 663,104.85/582.19
  6. Step 6: Final answer
    x = 1,138.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.