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Finding the Third Proportional to 143.30 and 209.11

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Solution

The third proportional to 143.30 and 209.11 is: 305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.30 : 209.11 = 209.11 : x
  2. Step 2: Convert to fraction form
    143.30/209.11 = 209.11/x
  3. Step 3: Cross multiply
    143.30x = 209.11 × 209.11
  4. Step 4: Simplify right side
    143.30x = 43,726.73
  5. Step 5: Solve for x
    x = 43,726.73/143.30
  6. Step 6: Final answer
    x = 305.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.