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Finding the Third Proportional to 48.17 and 76.65

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Solution

The third proportional to 48.17 and 76.65 is: 121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.17 : 76.65 = 76.65 : x
  2. Step 2: Convert to fraction form
    48.17/76.65 = 76.65/x
  3. Step 3: Cross multiply
    48.17x = 76.65 × 76.65
  4. Step 4: Simplify right side
    48.17x = 5,875.13
  5. Step 5: Solve for x
    x = 5,875.13/48.17
  6. Step 6: Final answer
    x = 121.96

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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.