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Finding the Third Proportional to 68,646 and 103,697

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Solution

The third proportional to 68,646 and 103,697 is: 156,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,646 : 103,697 = 103,697 : x
  2. Step 2: Convert to fraction form
    68,646/103,697 = 103,697/x
  3. Step 3: Cross multiply
    68,646x = 103,697 × 103,697
  4. Step 4: Simplify right side
    68,646x = 10,753,067,809
  5. Step 5: Solve for x
    x = 10,753,067,809/68,646
  6. Step 6: Final answer
    x = 156,645.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.