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Finding the Third Proportional to 90,372 and 135,285

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Solution

The third proportional to 90,372 and 135,285 is: 202,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,372 : 135,285 = 135,285 : x
  2. Step 2: Convert to fraction form
    90,372/135,285 = 135,285/x
  3. Step 3: Cross multiply
    90,372x = 135,285 × 135,285
  4. Step 4: Simplify right side
    90,372x = 18,302,031,225
  5. Step 5: Solve for x
    x = 18,302,031,225/90,372
  6. Step 6: Final answer
    x = 202,518.82

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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.