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Finding the Third Proportional to 117.78 and 229.84

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Solution

The third proportional to 117.78 and 229.84 is: 448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.78 : 229.84 = 229.84 : x
  2. Step 2: Convert to fraction form
    117.78/229.84 = 229.84/x
  3. Step 3: Cross multiply
    117.78x = 229.84 × 229.84
  4. Step 4: Simplify right side
    117.78x = 52,828.15
  5. Step 5: Solve for x
    x = 52,828.15/117.78
  6. Step 6: Final answer
    x = 448.53

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.