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Finding the Third Proportional to 117.09 and 181.78

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Solution

The third proportional to 117.09 and 181.78 is: 282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.09 : 181.78 = 181.78 : x
  2. Step 2: Convert to fraction form
    117.09/181.78 = 181.78/x
  3. Step 3: Cross multiply
    117.09x = 181.78 × 181.78
  4. Step 4: Simplify right side
    117.09x = 33,044.42
  5. Step 5: Solve for x
    x = 33,044.42/117.09
  6. Step 6: Final answer
    x = 282.20

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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.