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Finding the Third Proportional to 231,036 and 289,204

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Solution

The third proportional to 231,036 and 289,204 is: 362,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,036 : 289,204 = 289,204 : x
  2. Step 2: Convert to fraction form
    231,036/289,204 = 289,204/x
  3. Step 3: Cross multiply
    231,036x = 289,204 × 289,204
  4. Step 4: Simplify right side
    231,036x = 83,638,953,616
  5. Step 5: Solve for x
    x = 83,638,953,616/231,036
  6. Step 6: Final answer
    x = 362,016.97

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.