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Finding the Third Proportional to 839.67 and 991.55

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Solution

The third proportional to 839.67 and 991.55 is: 1,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.67 : 991.55 = 991.55 : x
  2. Step 2: Convert to fraction form
    839.67/991.55 = 991.55/x
  3. Step 3: Cross multiply
    839.67x = 991.55 × 991.55
  4. Step 4: Simplify right side
    839.67x = 983,165.21
  5. Step 5: Solve for x
    x = 983,165.21/839.67
  6. Step 6: Final answer
    x = 1,170.89

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.