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Finding the Third Proportional to 91,768 and 135,945

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Solution

The third proportional to 91,768 and 135,945 is: 201,388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,768 : 135,945 = 135,945 : x
  2. Step 2: Convert to fraction form
    91,768/135,945 = 135,945/x
  3. Step 3: Cross multiply
    91,768x = 135,945 × 135,945
  4. Step 4: Simplify right side
    91,768x = 18,481,043,025
  5. Step 5: Solve for x
    x = 18,481,043,025/91,768
  6. Step 6: Final answer
    x = 201,388.75

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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.