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Finding the Third Proportional to 815.38 and 1,245.85

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Solution

The third proportional to 815.38 and 1,245.85 is: 1,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.38 : 1,245.85 = 1,245.85 : x
  2. Step 2: Convert to fraction form
    815.38/1,245.85 = 1,245.85/x
  3. Step 3: Cross multiply
    815.38x = 1,245.85 × 1,245.85
  4. Step 4: Simplify right side
    815.38x = 1,552,141.25
  5. Step 5: Solve for x
    x = 1,552,141.25/815.38
  6. Step 6: Final answer
    x = 1,903.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.