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Finding the Third Proportional to 35.72 and 54.09

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Solution

The third proportional to 35.72 and 54.09 is: 81.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.72 : 54.09 = 54.09 : x
  2. Step 2: Convert to fraction form
    35.72/54.09 = 54.09/x
  3. Step 3: Cross multiply
    35.72x = 54.09 × 54.09
  4. Step 4: Simplify right side
    35.72x = 2,926.13
  5. Step 5: Solve for x
    x = 2,926.13/35.72
  6. Step 6: Final answer
    x = 81.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.