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Finding the Third Proportional to 395.38 and 866.44

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Solution

The third proportional to 395.38 and 866.44 is: 1,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.38 : 866.44 = 866.44 : x
  2. Step 2: Convert to fraction form
    395.38/866.44 = 866.44/x
  3. Step 3: Cross multiply
    395.38x = 866.44 × 866.44
  4. Step 4: Simplify right side
    395.38x = 750,713.94
  5. Step 5: Solve for x
    x = 750,713.94/395.38
  6. Step 6: Final answer
    x = 1,898.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.