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Finding the Third Proportional to 90,666 and 136,078

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Solution

The third proportional to 90,666 and 136,078 is: 204,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,666 : 136,078 = 136,078 : x
  2. Step 2: Convert to fraction form
    90,666/136,078 = 136,078/x
  3. Step 3: Cross multiply
    90,666x = 136,078 × 136,078
  4. Step 4: Simplify right side
    90,666x = 18,517,222,084
  5. Step 5: Solve for x
    x = 18,517,222,084/90,666
  6. Step 6: Final answer
    x = 204,235.57

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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.