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Finding the Third Proportional to 178.13 and 337.69

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Solution

The third proportional to 178.13 and 337.69 is: 640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.13 : 337.69 = 337.69 : x
  2. Step 2: Convert to fraction form
    178.13/337.69 = 337.69/x
  3. Step 3: Cross multiply
    178.13x = 337.69 × 337.69
  4. Step 4: Simplify right side
    178.13x = 114,032.85
  5. Step 5: Solve for x
    x = 114,032.85/178.13
  6. Step 6: Final answer
    x = 640.18

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.