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Finding the Third Proportional to 263.20 and 398.11

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Solution

The third proportional to 263.20 and 398.11 is: 602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.20 : 398.11 = 398.11 : x
  2. Step 2: Convert to fraction form
    263.20/398.11 = 398.11/x
  3. Step 3: Cross multiply
    263.20x = 398.11 × 398.11
  4. Step 4: Simplify right side
    263.20x = 158,491.07
  5. Step 5: Solve for x
    x = 158,491.07/263.20
  6. Step 6: Final answer
    x = 602.16

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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.