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Finding the Third Proportional to 181.78 and 259.73

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Solution

The third proportional to 181.78 and 259.73 is: 371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.78 : 259.73 = 259.73 : x
  2. Step 2: Convert to fraction form
    181.78/259.73 = 259.73/x
  3. Step 3: Cross multiply
    181.78x = 259.73 × 259.73
  4. Step 4: Simplify right side
    181.78x = 67,461.95
  5. Step 5: Solve for x
    x = 67,461.95/181.78
  6. Step 6: Final answer
    x = 371.12

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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.