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Finding the Third Proportional to 325.38 and 491.38

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Solution

The third proportional to 325.38 and 491.38 is: 742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.38 : 491.38 = 491.38 : x
  2. Step 2: Convert to fraction form
    325.38/491.38 = 491.38/x
  3. Step 3: Cross multiply
    325.38x = 491.38 × 491.38
  4. Step 4: Simplify right side
    325.38x = 241,449.39
  5. Step 5: Solve for x
    x = 241,449.39/325.38
  6. Step 6: Final answer
    x = 742.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.