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Finding the Third Proportional to 68,541 and 103,679

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Solution

The third proportional to 68,541 and 103,679 is: 156,830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,541 : 103,679 = 103,679 : x
  2. Step 2: Convert to fraction form
    68,541/103,679 = 103,679/x
  3. Step 3: Cross multiply
    68,541x = 103,679 × 103,679
  4. Step 4: Simplify right side
    68,541x = 10,749,335,041
  5. Step 5: Solve for x
    x = 10,749,335,041/68,541
  6. Step 6: Final answer
    x = 156,830.73

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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.