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Finding the Third Proportional to 12.08 and 21.53

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Solution

The third proportional to 12.08 and 21.53 is: 38.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.08 : 21.53 = 21.53 : x
  2. Step 2: Convert to fraction form
    12.08/21.53 = 21.53/x
  3. Step 3: Cross multiply
    12.08x = 21.53 × 21.53
  4. Step 4: Simplify right side
    12.08x = 463.52
  5. Step 5: Solve for x
    x = 463.52/12.08
  6. Step 6: Final answer
    x = 38.36

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.