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Finding the Third Proportional to 322.13 and 673.88

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Solution

The third proportional to 322.13 and 673.88 is: 1,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.13 : 673.88 = 673.88 : x
  2. Step 2: Convert to fraction form
    322.13/673.88 = 673.88/x
  3. Step 3: Cross multiply
    322.13x = 673.88 × 673.88
  4. Step 4: Simplify right side
    322.13x = 454,107.52
  5. Step 5: Solve for x
    x = 454,107.52/322.13
  6. Step 6: Final answer
    x = 1,409.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.