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Finding the Third Proportional to 74.50 and 108.25

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Solution

The third proportional to 74.50 and 108.25 is: 157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.50 : 108.25 = 108.25 : x
  2. Step 2: Convert to fraction form
    74.50/108.25 = 108.25/x
  3. Step 3: Cross multiply
    74.50x = 108.25 × 108.25
  4. Step 4: Simplify right side
    74.50x = 11,718.06
  5. Step 5: Solve for x
    x = 11,718.06/74.50
  6. Step 6: Final answer
    x = 157.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.