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Finding the Third Proportional to 55.19 and 80.78

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Solution

The third proportional to 55.19 and 80.78 is: 118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.19 : 80.78 = 80.78 : x
  2. Step 2: Convert to fraction form
    55.19/80.78 = 80.78/x
  3. Step 3: Cross multiply
    55.19x = 80.78 × 80.78
  4. Step 4: Simplify right side
    55.19x = 6,525.61
  5. Step 5: Solve for x
    x = 6,525.61/55.19
  6. Step 6: Final answer
    x = 118.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.