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Finding the Third Proportional to 391.17 and 733.08

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Solution

The third proportional to 391.17 and 733.08 is: 1,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.17 : 733.08 = 733.08 : x
  2. Step 2: Convert to fraction form
    391.17/733.08 = 733.08/x
  3. Step 3: Cross multiply
    391.17x = 733.08 × 733.08
  4. Step 4: Simplify right side
    391.17x = 537,403.54
  5. Step 5: Solve for x
    x = 537,403.54/391.17
  6. Step 6: Final answer
    x = 1,373.83

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.