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Finding the Third Proportional to 192.69 and 306.60

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Solution

The third proportional to 192.69 and 306.60 is: 487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.69 : 306.60 = 306.60 : x
  2. Step 2: Convert to fraction form
    192.69/306.60 = 306.60/x
  3. Step 3: Cross multiply
    192.69x = 306.60 × 306.60
  4. Step 4: Simplify right side
    192.69x = 94,002.12
  5. Step 5: Solve for x
    x = 94,002.12/192.69
  6. Step 6: Final answer
    x = 487.84

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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.