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Finding the Third Proportional to 180.05 and 278.67

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Solution

The third proportional to 180.05 and 278.67 is: 431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.05 : 278.67 = 278.67 : x
  2. Step 2: Convert to fraction form
    180.05/278.67 = 278.67/x
  3. Step 3: Cross multiply
    180.05x = 278.67 × 278.67
  4. Step 4: Simplify right side
    180.05x = 77,658.01
  5. Step 5: Solve for x
    x = 77,658.01/180.05
  6. Step 6: Final answer
    x = 431.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.