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Finding the Third Proportional to 379.27 and 571.64

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Solution

The third proportional to 379.27 and 571.64 is: 861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.27 : 571.64 = 571.64 : x
  2. Step 2: Convert to fraction form
    379.27/571.64 = 571.64/x
  3. Step 3: Cross multiply
    379.27x = 571.64 × 571.64
  4. Step 4: Simplify right side
    379.27x = 326,773.00
  5. Step 5: Solve for x
    x = 326,773.00/379.27
  6. Step 6: Final answer
    x = 861.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.