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Finding the Third Proportional to 117.19 and 251.97

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Solution

The third proportional to 117.19 and 251.97 is: 541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.19 : 251.97 = 251.97 : x
  2. Step 2: Convert to fraction form
    117.19/251.97 = 251.97/x
  3. Step 3: Cross multiply
    117.19x = 251.97 × 251.97
  4. Step 4: Simplify right side
    117.19x = 63,488.25
  5. Step 5: Solve for x
    x = 63,488.25/117.19
  6. Step 6: Final answer
    x = 541.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.