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Finding the Third Proportional to 877.32 and 991.22

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Solution

The third proportional to 877.32 and 991.22 is: 1,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.32 : 991.22 = 991.22 : x
  2. Step 2: Convert to fraction form
    877.32/991.22 = 991.22/x
  3. Step 3: Cross multiply
    877.32x = 991.22 × 991.22
  4. Step 4: Simplify right side
    877.32x = 982,520.42
  5. Step 5: Solve for x
    x = 982,520.42/877.32
  6. Step 6: Final answer
    x = 1,119.92

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.