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Finding the Third Proportional to 230.66 and 491.22

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Solution

The third proportional to 230.66 and 491.22 is: 1,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.66 : 491.22 = 491.22 : x
  2. Step 2: Convert to fraction form
    230.66/491.22 = 491.22/x
  3. Step 3: Cross multiply
    230.66x = 491.22 × 491.22
  4. Step 4: Simplify right side
    230.66x = 241,297.78
  5. Step 5: Solve for x
    x = 241,297.78/230.66
  6. Step 6: Final answer
    x = 1,046.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.