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Finding the Third Proportional to 51.84 and 77.98

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Solution

The third proportional to 51.84 and 77.98 is: 117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.84 : 77.98 = 77.98 : x
  2. Step 2: Convert to fraction form
    51.84/77.98 = 77.98/x
  3. Step 3: Cross multiply
    51.84x = 77.98 × 77.98
  4. Step 4: Simplify right side
    51.84x = 6,081.56
  5. Step 5: Solve for x
    x = 6,081.56/51.84
  6. Step 6: Final answer
    x = 117.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.