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Finding the Third Proportional to 42,105 and 92,135

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Solution

The third proportional to 42,105 and 92,135 is: 201,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,105 : 92,135 = 92,135 : x
  2. Step 2: Convert to fraction form
    42,105/92,135 = 92,135/x
  3. Step 3: Cross multiply
    42,105x = 92,135 × 92,135
  4. Step 4: Simplify right side
    42,105x = 8,488,858,225
  5. Step 5: Solve for x
    x = 8,488,858,225/42,105
  6. Step 6: Final answer
    x = 201,611.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.