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Finding the Third Proportional to 218,169 and 320,067

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Solution

The third proportional to 218,169 and 320,067 is: 469,557.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,169 : 320,067 = 320,067 : x
  2. Step 2: Convert to fraction form
    218,169/320,067 = 320,067/x
  3. Step 3: Cross multiply
    218,169x = 320,067 × 320,067
  4. Step 4: Simplify right side
    218,169x = 102,442,884,489
  5. Step 5: Solve for x
    x = 102,442,884,489/218,169
  6. Step 6: Final answer
    x = 469,557.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.