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Finding the Third Proportional to 109.30 and 192.91

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Solution

The third proportional to 109.30 and 192.91 is: 340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.30 : 192.91 = 192.91 : x
  2. Step 2: Convert to fraction form
    109.30/192.91 = 192.91/x
  3. Step 3: Cross multiply
    109.30x = 192.91 × 192.91
  4. Step 4: Simplify right side
    109.30x = 37,215.84
  5. Step 5: Solve for x
    x = 37,215.84/109.30
  6. Step 6: Final answer
    x = 340.49

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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.