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Finding the Third Proportional to 91,869 and 137,802

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Solution

The third proportional to 91,869 and 137,802 is: 206,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,869 : 137,802 = 137,802 : x
  2. Step 2: Convert to fraction form
    91,869/137,802 = 137,802/x
  3. Step 3: Cross multiply
    91,869x = 137,802 × 137,802
  4. Step 4: Simplify right side
    91,869x = 18,989,391,204
  5. Step 5: Solve for x
    x = 18,989,391,204/91,869
  6. Step 6: Final answer
    x = 206,700.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.