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Finding the Third Proportional to 61,299 and 138,843

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Solution

The third proportional to 61,299 and 138,843 is: 314,481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,299 : 138,843 = 138,843 : x
  2. Step 2: Convert to fraction form
    61,299/138,843 = 138,843/x
  3. Step 3: Cross multiply
    61,299x = 138,843 × 138,843
  4. Step 4: Simplify right side
    61,299x = 19,277,378,649
  5. Step 5: Solve for x
    x = 19,277,378,649/61,299
  6. Step 6: Final answer
    x = 314,481.13

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.