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Finding the Third Proportional to 397.31 and 862.13

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Solution

The third proportional to 397.31 and 862.13 is: 1,870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.31 : 862.13 = 862.13 : x
  2. Step 2: Convert to fraction form
    397.31/862.13 = 862.13/x
  3. Step 3: Cross multiply
    397.31x = 862.13 × 862.13
  4. Step 4: Simplify right side
    397.31x = 743,259.52
  5. Step 5: Solve for x
    x = 743,259.52/397.31
  6. Step 6: Final answer
    x = 1,870.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.