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Finding the Third Proportional to 75 and 111.50

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Solution

The third proportional to 75 and 111.50 is: 165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 111.50 = 111.50 : x
  2. Step 2: Convert to fraction form
    75/111.50 = 111.50/x
  3. Step 3: Cross multiply
    75x = 111.50 × 111.50
  4. Step 4: Simplify right side
    75x = 12,432.25
  5. Step 5: Solve for x
    x = 12,432.25/75
  6. Step 6: Final answer
    x = 165.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.