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Finding the Third Proportional to 185,049 and 398,907

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Solution

The third proportional to 185,049 and 398,907 is: 859,917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,049 : 398,907 = 398,907 : x
  2. Step 2: Convert to fraction form
    185,049/398,907 = 398,907/x
  3. Step 3: Cross multiply
    185,049x = 398,907 × 398,907
  4. Step 4: Simplify right side
    185,049x = 159,126,794,649
  5. Step 5: Solve for x
    x = 159,126,794,649/185,049
  6. Step 6: Final answer
    x = 859,917.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.