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Finding the Third Proportional to 109.31 and 192.19

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Solution

The third proportional to 109.31 and 192.19 is: 337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.31 : 192.19 = 192.19 : x
  2. Step 2: Convert to fraction form
    109.31/192.19 = 192.19/x
  3. Step 3: Cross multiply
    109.31x = 192.19 × 192.19
  4. Step 4: Simplify right side
    109.31x = 36,936.04
  5. Step 5: Solve for x
    x = 36,936.04/109.31
  6. Step 6: Final answer
    x = 337.89

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.