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Finding the Third Proportional to 815.06 and 963.14

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Solution

The third proportional to 815.06 and 963.14 is: 1,138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.06 : 963.14 = 963.14 : x
  2. Step 2: Convert to fraction form
    815.06/963.14 = 963.14/x
  3. Step 3: Cross multiply
    815.06x = 963.14 × 963.14
  4. Step 4: Simplify right side
    815.06x = 927,639.86
  5. Step 5: Solve for x
    x = 927,639.86/815.06
  6. Step 6: Final answer
    x = 1,138.12

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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.