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Finding the Third Proportional to 205,008 and 318,168

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Solution

The third proportional to 205,008 and 318,168 is: 493,789.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,008 : 318,168 = 318,168 : x
  2. Step 2: Convert to fraction form
    205,008/318,168 = 318,168/x
  3. Step 3: Cross multiply
    205,008x = 318,168 × 318,168
  4. Step 4: Simplify right side
    205,008x = 101,230,876,224
  5. Step 5: Solve for x
    x = 101,230,876,224/205,008
  6. Step 6: Final answer
    x = 493,789.88

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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.