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Finding the Third Proportional to 19,005 and 38,823

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Solution

The third proportional to 19,005 and 38,823 is: 79,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,005 : 38,823 = 38,823 : x
  2. Step 2: Convert to fraction form
    19,005/38,823 = 38,823/x
  3. Step 3: Cross multiply
    19,005x = 38,823 × 38,823
  4. Step 4: Simplify right side
    19,005x = 1,507,225,329
  5. Step 5: Solve for x
    x = 1,507,225,329/19,005
  6. Step 6: Final answer
    x = 79,306.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.