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Finding the Third Proportional to 391.75 and 514.88

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Solution

The third proportional to 391.75 and 514.88 is: 676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.75 : 514.88 = 514.88 : x
  2. Step 2: Convert to fraction form
    391.75/514.88 = 514.88/x
  3. Step 3: Cross multiply
    391.75x = 514.88 × 514.88
  4. Step 4: Simplify right side
    391.75x = 265,096.27
  5. Step 5: Solve for x
    x = 265,096.27/391.75
  6. Step 6: Final answer
    x = 676.70

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.