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Finding the Third Proportional to 18,689 and 28,103

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Solution

The third proportional to 18,689 and 28,103 is: 42,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,689 : 28,103 = 28,103 : x
  2. Step 2: Convert to fraction form
    18,689/28,103 = 28,103/x
  3. Step 3: Cross multiply
    18,689x = 28,103 × 28,103
  4. Step 4: Simplify right side
    18,689x = 789,778,609
  5. Step 5: Solve for x
    x = 789,778,609/18,689
  6. Step 6: Final answer
    x = 42,259.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.