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Finding the Third Proportional to 71,884 and 103,636

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Solution

The third proportional to 71,884 and 103,636 is: 149,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,884 : 103,636 = 103,636 : x
  2. Step 2: Convert to fraction form
    71,884/103,636 = 103,636/x
  3. Step 3: Cross multiply
    71,884x = 103,636 × 103,636
  4. Step 4: Simplify right side
    71,884x = 10,740,420,496
  5. Step 5: Solve for x
    x = 10,740,420,496/71,884
  6. Step 6: Final answer
    x = 149,413.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.