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Finding the Third Proportional to 681.38 and 1,471.92

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Solution

The third proportional to 681.38 and 1,471.92 is: 3,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.38 : 1,471.92 = 1,471.92 : x
  2. Step 2: Convert to fraction form
    681.38/1,471.92 = 1,471.92/x
  3. Step 3: Cross multiply
    681.38x = 1,471.92 × 1,471.92
  4. Step 4: Simplify right side
    681.38x = 2,166,554.01
  5. Step 5: Solve for x
    x = 2,166,554.01/681.38
  6. Step 6: Final answer
    x = 3,179.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.