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Finding the Third Proportional to 117.19 and 181.41

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Solution

The third proportional to 117.19 and 181.41 is: 280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.19 : 181.41 = 181.41 : x
  2. Step 2: Convert to fraction form
    117.19/181.41 = 181.41/x
  3. Step 3: Cross multiply
    117.19x = 181.41 × 181.41
  4. Step 4: Simplify right side
    117.19x = 32,908.23
  5. Step 5: Solve for x
    x = 32,908.23/117.19
  6. Step 6: Final answer
    x = 280.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.