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Finding the Third Proportional to 18.46 and 29.11

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Solution

The third proportional to 18.46 and 29.11 is: 45.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.46 : 29.11 = 29.11 : x
  2. Step 2: Convert to fraction form
    18.46/29.11 = 29.11/x
  3. Step 3: Cross multiply
    18.46x = 29.11 × 29.11
  4. Step 4: Simplify right side
    18.46x = 847.36
  5. Step 5: Solve for x
    x = 847.36/18.46
  6. Step 6: Final answer
    x = 45.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.