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Finding the Third Proportional to 67.50 and 107.53

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Solution

The third proportional to 67.50 and 107.53 is: 171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 107.53 = 107.53 : x
  2. Step 2: Convert to fraction form
    67.50/107.53 = 107.53/x
  3. Step 3: Cross multiply
    67.50x = 107.53 × 107.53
  4. Step 4: Simplify right side
    67.50x = 11,562.97
  5. Step 5: Solve for x
    x = 11,562.97/67.50
  6. Step 6: Final answer
    x = 171.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.