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Finding the Third Proportional to 90,638 and 136,389

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Solution

The third proportional to 90,638 and 136,389 is: 205,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,638 : 136,389 = 136,389 : x
  2. Step 2: Convert to fraction form
    90,638/136,389 = 136,389/x
  3. Step 3: Cross multiply
    90,638x = 136,389 × 136,389
  4. Step 4: Simplify right side
    90,638x = 18,601,959,321
  5. Step 5: Solve for x
    x = 18,601,959,321/90,638
  6. Step 6: Final answer
    x = 205,233.56

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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.