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Finding the Third Proportional to 15.66 and 33.06

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Solution

The third proportional to 15.66 and 33.06 is: 69.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.66 : 33.06 = 33.06 : x
  2. Step 2: Convert to fraction form
    15.66/33.06 = 33.06/x
  3. Step 3: Cross multiply
    15.66x = 33.06 × 33.06
  4. Step 4: Simplify right side
    15.66x = 1,093.26
  5. Step 5: Solve for x
    x = 1,093.26/15.66
  6. Step 6: Final answer
    x = 69.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.