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Finding the Third Proportional to 68,638 and 103,693

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Solution

The third proportional to 68,638 and 103,693 is: 156,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,638 : 103,693 = 103,693 : x
  2. Step 2: Convert to fraction form
    68,638/103,693 = 103,693/x
  3. Step 3: Cross multiply
    68,638x = 103,693 × 103,693
  4. Step 4: Simplify right side
    68,638x = 10,752,238,249
  5. Step 5: Solve for x
    x = 10,752,238,249/68,638
  6. Step 6: Final answer
    x = 156,651.39

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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.