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Finding the Third Proportional to 815.81 and 935.81

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Solution

The third proportional to 815.81 and 935.81 is: 1,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.81 : 935.81 = 935.81 : x
  2. Step 2: Convert to fraction form
    815.81/935.81 = 935.81/x
  3. Step 3: Cross multiply
    815.81x = 935.81 × 935.81
  4. Step 4: Simplify right side
    815.81x = 875,745.04
  5. Step 5: Solve for x
    x = 875,745.04/815.81
  6. Step 6: Final answer
    x = 1,073.46

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.