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Finding the Third Proportional to 45,638 and 68,277

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Solution

The third proportional to 45,638 and 68,277 is: 102,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,638 : 68,277 = 68,277 : x
  2. Step 2: Convert to fraction form
    45,638/68,277 = 68,277/x
  3. Step 3: Cross multiply
    45,638x = 68,277 × 68,277
  4. Step 4: Simplify right side
    45,638x = 4,661,748,729
  5. Step 5: Solve for x
    x = 4,661,748,729/45,638
  6. Step 6: Final answer
    x = 102,146.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.