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Finding the Third Proportional to 452.27 and 989.97

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Solution

The third proportional to 452.27 and 989.97 is: 2,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.27 : 989.97 = 989.97 : x
  2. Step 2: Convert to fraction form
    452.27/989.97 = 989.97/x
  3. Step 3: Cross multiply
    452.27x = 989.97 × 989.97
  4. Step 4: Simplify right side
    452.27x = 980,045.62
  5. Step 5: Solve for x
    x = 980,045.62/452.27
  6. Step 6: Final answer
    x = 2,166.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.