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Finding the Third Proportional to 205,593 and 317,727.75

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Solution

The third proportional to 205,593 and 317,727.75 is: 491,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,593 : 317,727.75 = 317,727.75 : x
  2. Step 2: Convert to fraction form
    205,593/317,727.75 = 317,727.75/x
  3. Step 3: Cross multiply
    205,593x = 317,727.75 × 317,727.75
  4. Step 4: Simplify right side
    205,593x = 100,950,923,120.06
  5. Step 5: Solve for x
    x = 100,950,923,120.06/205,593
  6. Step 6: Final answer
    x = 491,023.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.