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Finding the Third Proportional to 90,950 and 140,313

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Solution

The third proportional to 90,950 and 140,313 is: 216,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,950 : 140,313 = 140,313 : x
  2. Step 2: Convert to fraction form
    90,950/140,313 = 140,313/x
  3. Step 3: Cross multiply
    90,950x = 140,313 × 140,313
  4. Step 4: Simplify right side
    90,950x = 19,687,737,969
  5. Step 5: Solve for x
    x = 19,687,737,969/90,950
  6. Step 6: Final answer
    x = 216,467.71

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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.