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Finding the Third Proportional to 138,855 and 305,016

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Solution

The third proportional to 138,855 and 305,016 is: 670,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,855 : 305,016 = 305,016 : x
  2. Step 2: Convert to fraction form
    138,855/305,016 = 305,016/x
  3. Step 3: Cross multiply
    138,855x = 305,016 × 305,016
  4. Step 4: Simplify right side
    138,855x = 93,034,760,256
  5. Step 5: Solve for x
    x = 93,034,760,256/138,855
  6. Step 6: Final answer
    x = 670,013.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.