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Finding the Third Proportional to 48.27 and 76.74

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Solution

The third proportional to 48.27 and 76.74 is: 122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.27 : 76.74 = 76.74 : x
  2. Step 2: Convert to fraction form
    48.27/76.74 = 76.74/x
  3. Step 3: Cross multiply
    48.27x = 76.74 × 76.74
  4. Step 4: Simplify right side
    48.27x = 5,889.35
  5. Step 5: Solve for x
    x = 5,889.35/48.27
  6. Step 6: Final answer
    x = 122.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.