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Finding the Third Proportional to 379.25 and 493.88

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Solution

The third proportional to 379.25 and 493.88 is: 643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.25 : 493.88 = 493.88 : x
  2. Step 2: Convert to fraction form
    379.25/493.88 = 493.88/x
  3. Step 3: Cross multiply
    379.25x = 493.88 × 493.88
  4. Step 4: Simplify right side
    379.25x = 243,912.52
  5. Step 5: Solve for x
    x = 243,912.52/379.25
  6. Step 6: Final answer
    x = 643.14

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.