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Finding the Third Proportional to 48.13 and 75.69

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Solution

The third proportional to 48.13 and 75.69 is: 119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.13 : 75.69 = 75.69 : x
  2. Step 2: Convert to fraction form
    48.13/75.69 = 75.69/x
  3. Step 3: Cross multiply
    48.13x = 75.69 × 75.69
  4. Step 4: Simplify right side
    48.13x = 5,728.60
  5. Step 5: Solve for x
    x = 5,728.60/48.13
  6. Step 6: Final answer
    x = 119.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.