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Finding the Third Proportional to 16.50 and 36.16

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Solution

The third proportional to 16.50 and 36.16 is: 79.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.50 : 36.16 = 36.16 : x
  2. Step 2: Convert to fraction form
    16.50/36.16 = 36.16/x
  3. Step 3: Cross multiply
    16.50x = 36.16 × 36.16
  4. Step 4: Simplify right side
    16.50x = 1,307.27
  5. Step 5: Solve for x
    x = 1,307.27/16.50
  6. Step 6: Final answer
    x = 79.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.