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Finding the Third Proportional to 28.88 and 66.28

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Solution

The third proportional to 28.88 and 66.28 is: 152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.88 : 66.28 = 66.28 : x
  2. Step 2: Convert to fraction form
    28.88/66.28 = 66.28/x
  3. Step 3: Cross multiply
    28.88x = 66.28 × 66.28
  4. Step 4: Simplify right side
    28.88x = 4,393.20
  5. Step 5: Solve for x
    x = 4,393.20/28.88
  6. Step 6: Final answer
    x = 152.15

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.