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Finding the Third Proportional to 49.64 and 77.67

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Solution

The third proportional to 49.64 and 77.67 is: 121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.64 : 77.67 = 77.67 : x
  2. Step 2: Convert to fraction form
    49.64/77.67 = 77.67/x
  3. Step 3: Cross multiply
    49.64x = 77.67 × 77.67
  4. Step 4: Simplify right side
    49.64x = 6,032.92
  5. Step 5: Solve for x
    x = 6,032.92/49.64
  6. Step 6: Final answer
    x = 121.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.