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Finding the Third Proportional to 76.57 and 149.19

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Solution

The third proportional to 76.57 and 149.19 is: 290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.57 : 149.19 = 149.19 : x
  2. Step 2: Convert to fraction form
    76.57/149.19 = 149.19/x
  3. Step 3: Cross multiply
    76.57x = 149.19 × 149.19
  4. Step 4: Simplify right side
    76.57x = 22,256.33
  5. Step 5: Solve for x
    x = 22,256.33/76.57
  6. Step 6: Final answer
    x = 290.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.