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Finding the Third Proportional to 409.88 and 672.19

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Solution

The third proportional to 409.88 and 672.19 is: 1,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.88 : 672.19 = 672.19 : x
  2. Step 2: Convert to fraction form
    409.88/672.19 = 672.19/x
  3. Step 3: Cross multiply
    409.88x = 672.19 × 672.19
  4. Step 4: Simplify right side
    409.88x = 451,836.04
  5. Step 5: Solve for x
    x = 451,836.04/409.88
  6. Step 6: Final answer
    x = 1,102.38

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.