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Finding the Third Proportional to 304.13 and 348.19

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Solution

The third proportional to 304.13 and 348.19 is: 398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.13 : 348.19 = 348.19 : x
  2. Step 2: Convert to fraction form
    304.13/348.19 = 348.19/x
  3. Step 3: Cross multiply
    304.13x = 348.19 × 348.19
  4. Step 4: Simplify right side
    304.13x = 121,234.54
  5. Step 5: Solve for x
    x = 121,234.54/304.13
  6. Step 6: Final answer
    x = 398.63

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.