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Finding the Third Proportional to 205,987 and 318,782

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Solution

The third proportional to 205,987 and 318,782 is: 493,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,987 : 318,782 = 318,782 : x
  2. Step 2: Convert to fraction form
    205,987/318,782 = 318,782/x
  3. Step 3: Cross multiply
    205,987x = 318,782 × 318,782
  4. Step 4: Simplify right side
    205,987x = 101,621,963,524
  5. Step 5: Solve for x
    x = 101,621,963,524/205,987
  6. Step 6: Final answer
    x = 493,341.64

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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.