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Finding the Third Proportional to 48.19 and 77.79

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Solution

The third proportional to 48.19 and 77.79 is: 125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.19 : 77.79 = 77.79 : x
  2. Step 2: Convert to fraction form
    48.19/77.79 = 77.79/x
  3. Step 3: Cross multiply
    48.19x = 77.79 × 77.79
  4. Step 4: Simplify right side
    48.19x = 6,050.86
  5. Step 5: Solve for x
    x = 6,050.86/48.19
  6. Step 6: Final answer
    x = 125.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.