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Finding the Third Proportional to 68,606 and 103,639

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Solution

The third proportional to 68,606 and 103,639 is: 156,561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,606 : 103,639 = 103,639 : x
  2. Step 2: Convert to fraction form
    68,606/103,639 = 103,639/x
  3. Step 3: Cross multiply
    68,606x = 103,639 × 103,639
  4. Step 4: Simplify right side
    68,606x = 10,741,042,321
  5. Step 5: Solve for x
    x = 10,741,042,321/68,606
  6. Step 6: Final answer
    x = 156,561.27

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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.