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Finding the Third Proportional to 452.81 and 991.03

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Solution

The third proportional to 452.81 and 991.03 is: 2,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.81 : 991.03 = 991.03 : x
  2. Step 2: Convert to fraction form
    452.81/991.03 = 991.03/x
  3. Step 3: Cross multiply
    452.81x = 991.03 × 991.03
  4. Step 4: Simplify right side
    452.81x = 982,142.94
  5. Step 5: Solve for x
    x = 982,142.94/452.81
  6. Step 6: Final answer
    x = 2,168.98

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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.