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Finding the Third Proportional to 43,141 and 67,689

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Solution

The third proportional to 43,141 and 67,689 is: 106,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,141 : 67,689 = 67,689 : x
  2. Step 2: Convert to fraction form
    43,141/67,689 = 67,689/x
  3. Step 3: Cross multiply
    43,141x = 67,689 × 67,689
  4. Step 4: Simplify right side
    43,141x = 4,581,800,721
  5. Step 5: Solve for x
    x = 4,581,800,721/43,141
  6. Step 6: Final answer
    x = 106,205.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.