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Finding the Third Proportional to 378.05 and 790.75

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Solution

The third proportional to 378.05 and 790.75 is: 1,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.05 : 790.75 = 790.75 : x
  2. Step 2: Convert to fraction form
    378.05/790.75 = 790.75/x
  3. Step 3: Cross multiply
    378.05x = 790.75 × 790.75
  4. Step 4: Simplify right side
    378.05x = 625,279.38
  5. Step 5: Solve for x
    x = 625,279.38/378.05
  6. Step 6: Final answer
    x = 1,653.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.