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Finding the Third Proportional to 370.41 and 815.38

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Solution

The third proportional to 370.41 and 815.38 is: 1,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.41 : 815.38 = 815.38 : x
  2. Step 2: Convert to fraction form
    370.41/815.38 = 815.38/x
  3. Step 3: Cross multiply
    370.41x = 815.38 × 815.38
  4. Step 4: Simplify right side
    370.41x = 664,842.76
  5. Step 5: Solve for x
    x = 664,842.76/370.41
  6. Step 6: Final answer
    x = 1,794.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.