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Finding the Third Proportional to 90,743 and 136,203

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Solution

The third proportional to 90,743 and 136,203 is: 204,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,743 : 136,203 = 136,203 : x
  2. Step 2: Convert to fraction form
    90,743/136,203 = 136,203/x
  3. Step 3: Cross multiply
    90,743x = 136,203 × 136,203
  4. Step 4: Simplify right side
    90,743x = 18,551,257,209
  5. Step 5: Solve for x
    x = 18,551,257,209/90,743
  6. Step 6: Final answer
    x = 204,437.34

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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.