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Finding the Third Proportional to 371.46 and 672.68

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Solution

The third proportional to 371.46 and 672.68 is: 1,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.46 : 672.68 = 672.68 : x
  2. Step 2: Convert to fraction form
    371.46/672.68 = 672.68/x
  3. Step 3: Cross multiply
    371.46x = 672.68 × 672.68
  4. Step 4: Simplify right side
    371.46x = 452,497.96
  5. Step 5: Solve for x
    x = 452,497.96/371.46
  6. Step 6: Final answer
    x = 1,218.16

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.