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Finding the Third Proportional to 29.91 and 69.28

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Solution

The third proportional to 29.91 and 69.28 is: 160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.91 : 69.28 = 69.28 : x
  2. Step 2: Convert to fraction form
    29.91/69.28 = 69.28/x
  3. Step 3: Cross multiply
    29.91x = 69.28 × 69.28
  4. Step 4: Simplify right side
    29.91x = 4,799.89
  5. Step 5: Solve for x
    x = 4,799.89/29.91
  6. Step 6: Final answer
    x = 160.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.