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Finding the Third Proportional to 391.57 and 622.76

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Solution

The third proportional to 391.57 and 622.76 is: 990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.57 : 622.76 = 622.76 : x
  2. Step 2: Convert to fraction form
    391.57/622.76 = 622.76/x
  3. Step 3: Cross multiply
    391.57x = 622.76 × 622.76
  4. Step 4: Simplify right side
    391.57x = 387,827.29
  5. Step 5: Solve for x
    x = 387,827.29/391.57
  6. Step 6: Final answer
    x = 990.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.