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Finding the Third Proportional to 319.13 and 349.13

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Solution

The third proportional to 319.13 and 349.13 is: 381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.13 : 349.13 = 349.13 : x
  2. Step 2: Convert to fraction form
    319.13/349.13 = 349.13/x
  3. Step 3: Cross multiply
    319.13x = 349.13 × 349.13
  4. Step 4: Simplify right side
    319.13x = 121,888.27
  5. Step 5: Solve for x
    x = 121,888.27/319.13
  6. Step 6: Final answer
    x = 381.95

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.