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Finding the Third Proportional to 19,888 and 28,103

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Solution

The third proportional to 19,888 and 28,103 is: 39,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,888 : 28,103 = 28,103 : x
  2. Step 2: Convert to fraction form
    19,888/28,103 = 28,103/x
  3. Step 3: Cross multiply
    19,888x = 28,103 × 28,103
  4. Step 4: Simplify right side
    19,888x = 789,778,609
  5. Step 5: Solve for x
    x = 789,778,609/19,888
  6. Step 6: Final answer
    x = 39,711.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.