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Finding the Third Proportional to 91,818 and 135,977

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Solution

The third proportional to 91,818 and 135,977 is: 201,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,818 : 135,977 = 135,977 : x
  2. Step 2: Convert to fraction form
    91,818/135,977 = 135,977/x
  3. Step 3: Cross multiply
    91,818x = 135,977 × 135,977
  4. Step 4: Simplify right side
    91,818x = 18,489,744,529
  5. Step 5: Solve for x
    x = 18,489,744,529/91,818
  6. Step 6: Final answer
    x = 201,373.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.