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Finding the Third Proportional to 204,816 and 318,004

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Solution

The third proportional to 204,816 and 318,004 is: 493,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,816 : 318,004 = 318,004 : x
  2. Step 2: Convert to fraction form
    204,816/318,004 = 318,004/x
  3. Step 3: Cross multiply
    204,816x = 318,004 × 318,004
  4. Step 4: Simplify right side
    204,816x = 101,126,544,016
  5. Step 5: Solve for x
    x = 101,126,544,016/204,816
  6. Step 6: Final answer
    x = 493,743.38

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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.