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Finding the Third Proportional to 90,398 and 135,050

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Solution

The third proportional to 90,398 and 135,050 is: 201,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,398 : 135,050 = 135,050 : x
  2. Step 2: Convert to fraction form
    90,398/135,050 = 135,050/x
  3. Step 3: Cross multiply
    90,398x = 135,050 × 135,050
  4. Step 4: Simplify right side
    90,398x = 18,238,502,500
  5. Step 5: Solve for x
    x = 18,238,502,500/90,398
  6. Step 6: Final answer
    x = 201,757.81

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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.