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Finding the Third Proportional to 320.84 and 679.43

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Solution

The third proportional to 320.84 and 679.43 is: 1,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.84 : 679.43 = 679.43 : x
  2. Step 2: Convert to fraction form
    320.84/679.43 = 679.43/x
  3. Step 3: Cross multiply
    320.84x = 679.43 × 679.43
  4. Step 4: Simplify right side
    320.84x = 461,624.70
  5. Step 5: Solve for x
    x = 461,624.70/320.84
  6. Step 6: Final answer
    x = 1,438.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.