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Finding the Third Proportional to 42.23 and 53.97

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Solution

The third proportional to 42.23 and 53.97 is: 68.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.23 : 53.97 = 53.97 : x
  2. Step 2: Convert to fraction form
    42.23/53.97 = 53.97/x
  3. Step 3: Cross multiply
    42.23x = 53.97 × 53.97
  4. Step 4: Simplify right side
    42.23x = 2,912.63
  5. Step 5: Solve for x
    x = 2,912.63/42.23
  6. Step 6: Final answer
    x = 68.96

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.