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Finding the Third Proportional to 178.45 and 282.87

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Solution

The third proportional to 178.45 and 282.87 is: 448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.45 : 282.87 = 282.87 : x
  2. Step 2: Convert to fraction form
    178.45/282.87 = 282.87/x
  3. Step 3: Cross multiply
    178.45x = 282.87 × 282.87
  4. Step 4: Simplify right side
    178.45x = 80,013.85
  5. Step 5: Solve for x
    x = 80,013.85/178.45
  6. Step 6: Final answer
    x = 448.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.