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Finding the Third Proportional to 21.65 and 29.27

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Solution

The third proportional to 21.65 and 29.27 is: 39.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.65 : 29.27 = 29.27 : x
  2. Step 2: Convert to fraction form
    21.65/29.27 = 29.27/x
  3. Step 3: Cross multiply
    21.65x = 29.27 × 29.27
  4. Step 4: Simplify right side
    21.65x = 856.59
  5. Step 5: Solve for x
    x = 856.59/21.65
  6. Step 6: Final answer
    x = 39.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.