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Finding the Third Proportional to 30 and 39.75

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Solution

The third proportional to 30 and 39.75 is: 52.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 39.75 = 39.75 : x
  2. Step 2: Convert to fraction form
    30/39.75 = 39.75/x
  3. Step 3: Cross multiply
    30x = 39.75 × 39.75
  4. Step 4: Simplify right side
    30x = 1,580.06
  5. Step 5: Solve for x
    x = 1,580.06/30
  6. Step 6: Final answer
    x = 52.67

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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.