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Finding the Third Proportional to 58.22 and 81.42

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Solution

The third proportional to 58.22 and 81.42 is: 113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.22 : 81.42 = 81.42 : x
  2. Step 2: Convert to fraction form
    58.22/81.42 = 81.42/x
  3. Step 3: Cross multiply
    58.22x = 81.42 × 81.42
  4. Step 4: Simplify right side
    58.22x = 6,629.52
  5. Step 5: Solve for x
    x = 6,629.52/58.22
  6. Step 6: Final answer
    x = 113.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.