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Finding the Third Proportional to 129.56 and 181.03

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Solution

The third proportional to 129.56 and 181.03 is: 252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.56 : 181.03 = 181.03 : x
  2. Step 2: Convert to fraction form
    129.56/181.03 = 181.03/x
  3. Step 3: Cross multiply
    129.56x = 181.03 × 181.03
  4. Step 4: Simplify right side
    129.56x = 32,772.31
  5. Step 5: Solve for x
    x = 32,772.31/129.56
  6. Step 6: Final answer
    x = 252.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.