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Finding the Third Proportional to 67,698 and 105,867

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Solution

The third proportional to 67,698 and 105,867 is: 165,556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,698 : 105,867 = 105,867 : x
  2. Step 2: Convert to fraction form
    67,698/105,867 = 105,867/x
  3. Step 3: Cross multiply
    67,698x = 105,867 × 105,867
  4. Step 4: Simplify right side
    67,698x = 11,207,821,689
  5. Step 5: Solve for x
    x = 11,207,821,689/67,698
  6. Step 6: Final answer
    x = 165,556.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.