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Finding the Third Proportional to 91,268 and 123,078

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Solution

The third proportional to 91,268 and 123,078 is: 165,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,268 : 123,078 = 123,078 : x
  2. Step 2: Convert to fraction form
    91,268/123,078 = 123,078/x
  3. Step 3: Cross multiply
    91,268x = 123,078 × 123,078
  4. Step 4: Simplify right side
    91,268x = 15,148,194,084
  5. Step 5: Solve for x
    x = 15,148,194,084/91,268
  6. Step 6: Final answer
    x = 165,974.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.