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Finding the Third Proportional to 75 and 99.75

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Solution

The third proportional to 75 and 99.75 is: 132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 99.75 = 99.75 : x
  2. Step 2: Convert to fraction form
    75/99.75 = 99.75/x
  3. Step 3: Cross multiply
    75x = 99.75 × 99.75
  4. Step 4: Simplify right side
    75x = 9,950.06
  5. Step 5: Solve for x
    x = 9,950.06/75
  6. Step 6: Final answer
    x = 132.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.