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Finding the Third Proportional to 90,853 and 195,518

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Solution

The third proportional to 90,853 and 195,518 is: 420,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,853 : 195,518 = 195,518 : x
  2. Step 2: Convert to fraction form
    90,853/195,518 = 195,518/x
  3. Step 3: Cross multiply
    90,853x = 195,518 × 195,518
  4. Step 4: Simplify right side
    90,853x = 38,227,288,324
  5. Step 5: Solve for x
    x = 38,227,288,324/90,853
  6. Step 6: Final answer
    x = 420,759.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.