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Finding the Third Proportional to 178.45 and 260.09

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Solution

The third proportional to 178.45 and 260.09 is: 379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.45 : 260.09 = 260.09 : x
  2. Step 2: Convert to fraction form
    178.45/260.09 = 260.09/x
  3. Step 3: Cross multiply
    178.45x = 260.09 × 260.09
  4. Step 4: Simplify right side
    178.45x = 67,644.69
  5. Step 5: Solve for x
    x = 67,644.69/178.45
  6. Step 6: Final answer
    x = 379.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.