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Finding the Third Proportional to 61,409 and 133,631

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Solution

The third proportional to 61,409 and 133,631 is: 290,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,409 : 133,631 = 133,631 : x
  2. Step 2: Convert to fraction form
    61,409/133,631 = 133,631/x
  3. Step 3: Cross multiply
    61,409x = 133,631 × 133,631
  4. Step 4: Simplify right side
    61,409x = 17,857,244,161
  5. Step 5: Solve for x
    x = 17,857,244,161/61,409
  6. Step 6: Final answer
    x = 290,791.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.