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Finding the Third Proportional to 192 and 280.88

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Solution

The third proportional to 192 and 280.88 is: 410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192 : 280.88 = 280.88 : x
  2. Step 2: Convert to fraction form
    192/280.88 = 280.88/x
  3. Step 3: Cross multiply
    192x = 280.88 × 280.88
  4. Step 4: Simplify right side
    192x = 78,890.77
  5. Step 5: Solve for x
    x = 78,890.77/192
  6. Step 6: Final answer
    x = 410.89

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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.