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Finding the Third Proportional to 72.44 and 107.31

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Solution

The third proportional to 72.44 and 107.31 is: 158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.44 : 107.31 = 107.31 : x
  2. Step 2: Convert to fraction form
    72.44/107.31 = 107.31/x
  3. Step 3: Cross multiply
    72.44x = 107.31 × 107.31
  4. Step 4: Simplify right side
    72.44x = 11,515.97
  5. Step 5: Solve for x
    x = 11,515.97/72.44
  6. Step 6: Final answer
    x = 158.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.