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Finding the Third Proportional to 452.46 and 956.18

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Solution

The third proportional to 452.46 and 956.18 is: 2,020.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.46 : 956.18 = 956.18 : x
  2. Step 2: Convert to fraction form
    452.46/956.18 = 956.18/x
  3. Step 3: Cross multiply
    452.46x = 956.18 × 956.18
  4. Step 4: Simplify right side
    452.46x = 914,279.59
  5. Step 5: Solve for x
    x = 914,279.59/452.46
  6. Step 6: Final answer
    x = 2,020.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.