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Finding the Third Proportional to 811.27 and 958.36

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Solution

The third proportional to 811.27 and 958.36 is: 1,132.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.27 : 958.36 = 958.36 : x
  2. Step 2: Convert to fraction form
    811.27/958.36 = 958.36/x
  3. Step 3: Cross multiply
    811.27x = 958.36 × 958.36
  4. Step 4: Simplify right side
    811.27x = 918,452.69
  5. Step 5: Solve for x
    x = 918,452.69/811.27
  6. Step 6: Final answer
    x = 1,132.12

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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.