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Finding the Third Proportional to 391.22 and 586.41

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Solution

The third proportional to 391.22 and 586.41 is: 878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.22 : 586.41 = 586.41 : x
  2. Step 2: Convert to fraction form
    391.22/586.41 = 586.41/x
  3. Step 3: Cross multiply
    391.22x = 586.41 × 586.41
  4. Step 4: Simplify right side
    391.22x = 343,872.29
  5. Step 5: Solve for x
    x = 343,872.29/391.22
  6. Step 6: Final answer
    x = 878.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.