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Finding the Third Proportional to 51.26 and 109.79

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Solution

The third proportional to 51.26 and 109.79 is: 235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.26 : 109.79 = 109.79 : x
  2. Step 2: Convert to fraction form
    51.26/109.79 = 109.79/x
  3. Step 3: Cross multiply
    51.26x = 109.79 × 109.79
  4. Step 4: Simplify right side
    51.26x = 12,054.50
  5. Step 5: Solve for x
    x = 12,054.50/51.26
  6. Step 6: Final answer
    x = 235.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.