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Finding the Third Proportional to 17.72 and 24.05

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Solution

The third proportional to 17.72 and 24.05 is: 32.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.72 : 24.05 = 24.05 : x
  2. Step 2: Convert to fraction form
    17.72/24.05 = 24.05/x
  3. Step 3: Cross multiply
    17.72x = 24.05 × 24.05
  4. Step 4: Simplify right side
    17.72x = 578.25
  5. Step 5: Solve for x
    x = 578.25/17.72
  6. Step 6: Final answer
    x = 32.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.