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Finding the Third Proportional to 67,838 and 137,593

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Solution

The third proportional to 67,838 and 137,593 is: 279,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,838 : 137,593 = 137,593 : x
  2. Step 2: Convert to fraction form
    67,838/137,593 = 137,593/x
  3. Step 3: Cross multiply
    67,838x = 137,593 × 137,593
  4. Step 4: Simplify right side
    67,838x = 18,931,833,649
  5. Step 5: Solve for x
    x = 18,931,833,649/67,838
  6. Step 6: Final answer
    x = 279,074.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.