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Finding the Third Proportional to 90,793 and 140,019

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Solution

The third proportional to 90,793 and 140,019 is: 215,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,793 : 140,019 = 140,019 : x
  2. Step 2: Convert to fraction form
    90,793/140,019 = 140,019/x
  3. Step 3: Cross multiply
    90,793x = 140,019 × 140,019
  4. Step 4: Simplify right side
    90,793x = 19,605,320,361
  5. Step 5: Solve for x
    x = 19,605,320,361/90,793
  6. Step 6: Final answer
    x = 215,934.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.