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Finding the Third Proportional to 90,662 and 136,072

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Solution

The third proportional to 90,662 and 136,072 is: 204,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,662 : 136,072 = 136,072 : x
  2. Step 2: Convert to fraction form
    90,662/136,072 = 136,072/x
  3. Step 3: Cross multiply
    90,662x = 136,072 × 136,072
  4. Step 4: Simplify right side
    90,662x = 18,515,589,184
  5. Step 5: Solve for x
    x = 18,515,589,184/90,662
  6. Step 6: Final answer
    x = 204,226.57

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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.