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Finding the Third Proportional to 192.84 and 282.52

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Solution

The third proportional to 192.84 and 282.52 is: 413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.84 : 282.52 = 282.52 : x
  2. Step 2: Convert to fraction form
    192.84/282.52 = 282.52/x
  3. Step 3: Cross multiply
    192.84x = 282.52 × 282.52
  4. Step 4: Simplify right side
    192.84x = 79,815.08
  5. Step 5: Solve for x
    x = 79,815.08/192.84
  6. Step 6: Final answer
    x = 413.88

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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.