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Finding the Third Proportional to 866.11 and 1,170.49

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Solution

The third proportional to 866.11 and 1,170.49 is: 1,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.11 : 1,170.49 = 1,170.49 : x
  2. Step 2: Convert to fraction form
    866.11/1,170.49 = 1,170.49/x
  3. Step 3: Cross multiply
    866.11x = 1,170.49 × 1,170.49
  4. Step 4: Simplify right side
    866.11x = 1,370,051.96
  5. Step 5: Solve for x
    x = 1,370,051.96/866.11
  6. Step 6: Final answer
    x = 1,581.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.