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Finding the Third Proportional to 16.45 and 29.11

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Solution

The third proportional to 16.45 and 29.11 is: 51.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.45 : 29.11 = 29.11 : x
  2. Step 2: Convert to fraction form
    16.45/29.11 = 29.11/x
  3. Step 3: Cross multiply
    16.45x = 29.11 × 29.11
  4. Step 4: Simplify right side
    16.45x = 847.36
  5. Step 5: Solve for x
    x = 847.36/16.45
  6. Step 6: Final answer
    x = 51.50

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.