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Finding the Third Proportional to 66,685 and 103,227

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Solution

The third proportional to 66,685 and 103,227 is: 159,793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,685 : 103,227 = 103,227 : x
  2. Step 2: Convert to fraction form
    66,685/103,227 = 103,227/x
  3. Step 3: Cross multiply
    66,685x = 103,227 × 103,227
  4. Step 4: Simplify right side
    66,685x = 10,655,813,529
  5. Step 5: Solve for x
    x = 10,655,813,529/66,685
  6. Step 6: Final answer
    x = 159,793.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.