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Finding the Third Proportional to 225.38 and 320.88

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Solution

The third proportional to 225.38 and 320.88 is: 456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.38 : 320.88 = 320.88 : x
  2. Step 2: Convert to fraction form
    225.38/320.88 = 320.88/x
  3. Step 3: Cross multiply
    225.38x = 320.88 × 320.88
  4. Step 4: Simplify right side
    225.38x = 102,960.77
  5. Step 5: Solve for x
    x = 102,960.77/225.38
  6. Step 6: Final answer
    x = 456.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.