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Finding the Third Proportional to 28 and 32.88

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Solution

The third proportional to 28 and 32.88 is: 38.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28 : 32.88 = 32.88 : x
  2. Step 2: Convert to fraction form
    28/32.88 = 32.88/x
  3. Step 3: Cross multiply
    28x = 32.88 × 32.88
  4. Step 4: Simplify right side
    28x = 1,080.77
  5. Step 5: Solve for x
    x = 1,080.77/28
  6. Step 6: Final answer
    x = 38.60

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.