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Finding the Third Proportional to 84.10 and 181.09

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Solution

The third proportional to 84.10 and 181.09 is: 389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.10 : 181.09 = 181.09 : x
  2. Step 2: Convert to fraction form
    84.10/181.09 = 181.09/x
  3. Step 3: Cross multiply
    84.10x = 181.09 × 181.09
  4. Step 4: Simplify right side
    84.10x = 32,792.12
  5. Step 5: Solve for x
    x = 32,792.12/84.10
  6. Step 6: Final answer
    x = 389.91

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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.