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Finding the Third Proportional to 49.85 and 77.01

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Solution

The third proportional to 49.85 and 77.01 is: 118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.85 : 77.01 = 77.01 : x
  2. Step 2: Convert to fraction form
    49.85/77.01 = 77.01/x
  3. Step 3: Cross multiply
    49.85x = 77.01 × 77.01
  4. Step 4: Simplify right side
    49.85x = 5,930.50
  5. Step 5: Solve for x
    x = 5,930.50/49.85
  6. Step 6: Final answer
    x = 118.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.