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Finding the Third Proportional to 48.73 and 76.99

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Solution

The third proportional to 48.73 and 76.99 is: 121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.73 : 76.99 = 76.99 : x
  2. Step 2: Convert to fraction form
    48.73/76.99 = 76.99/x
  3. Step 3: Cross multiply
    48.73x = 76.99 × 76.99
  4. Step 4: Simplify right side
    48.73x = 5,927.80
  5. Step 5: Solve for x
    x = 5,927.80/48.73
  6. Step 6: Final answer
    x = 121.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.