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Finding the Third Proportional to 19.04 and 39.08

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Solution

The third proportional to 19.04 and 39.08 is: 80.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.04 : 39.08 = 39.08 : x
  2. Step 2: Convert to fraction form
    19.04/39.08 = 39.08/x
  3. Step 3: Cross multiply
    19.04x = 39.08 × 39.08
  4. Step 4: Simplify right side
    19.04x = 1,527.37
  5. Step 5: Solve for x
    x = 1,527.37/19.04
  6. Step 6: Final answer
    x = 80.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.