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Finding the Third Proportional to 90,774 and 136,242

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Solution

The third proportional to 90,774 and 136,242 is: 204,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,774 : 136,242 = 136,242 : x
  2. Step 2: Convert to fraction form
    90,774/136,242 = 136,242/x
  3. Step 3: Cross multiply
    90,774x = 136,242 × 136,242
  4. Step 4: Simplify right side
    90,774x = 18,561,882,564
  5. Step 5: Solve for x
    x = 18,561,882,564/90,774
  6. Step 6: Final answer
    x = 204,484.57

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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.