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Finding the Third Proportional to 90,525 and 135,180

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Solution

The third proportional to 90,525 and 135,180 is: 201,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,525 : 135,180 = 135,180 : x
  2. Step 2: Convert to fraction form
    90,525/135,180 = 135,180/x
  3. Step 3: Cross multiply
    90,525x = 135,180 × 135,180
  4. Step 4: Simplify right side
    90,525x = 18,273,632,400
  5. Step 5: Solve for x
    x = 18,273,632,400/90,525
  6. Step 6: Final answer
    x = 201,862.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.