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Finding the Third Proportional to 181.20 and 258.87

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Solution

The third proportional to 181.20 and 258.87 is: 369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.20 : 258.87 = 258.87 : x
  2. Step 2: Convert to fraction form
    181.20/258.87 = 258.87/x
  3. Step 3: Cross multiply
    181.20x = 258.87 × 258.87
  4. Step 4: Simplify right side
    181.20x = 67,015.25
  5. Step 5: Solve for x
    x = 67,015.25/181.20
  6. Step 6: Final answer
    x = 369.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.