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Finding the Third Proportional to 862.31 and 1,299.38

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Solution

The third proportional to 862.31 and 1,299.38 is: 1,957.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.31 : 1,299.38 = 1,299.38 : x
  2. Step 2: Convert to fraction form
    862.31/1,299.38 = 1,299.38/x
  3. Step 3: Cross multiply
    862.31x = 1,299.38 × 1,299.38
  4. Step 4: Simplify right side
    862.31x = 1,688,375.39
  5. Step 5: Solve for x
    x = 1,688,375.39/862.31
  6. Step 6: Final answer
    x = 1,957.96

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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.