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Finding the Third Proportional to 19.04 and 28.71

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Solution

The third proportional to 19.04 and 28.71 is: 43.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.04 : 28.71 = 28.71 : x
  2. Step 2: Convert to fraction form
    19.04/28.71 = 28.71/x
  3. Step 3: Cross multiply
    19.04x = 28.71 × 28.71
  4. Step 4: Simplify right side
    19.04x = 824.04
  5. Step 5: Solve for x
    x = 824.04/19.04
  6. Step 6: Final answer
    x = 43.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.