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Finding the Third Proportional to 395,450 and 612,834

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Solution

The third proportional to 395,450 and 612,834 is: 949,716.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,450 : 612,834 = 612,834 : x
  2. Step 2: Convert to fraction form
    395,450/612,834 = 612,834/x
  3. Step 3: Cross multiply
    395,450x = 612,834 × 612,834
  4. Step 4: Simplify right side
    395,450x = 375,565,511,556
  5. Step 5: Solve for x
    x = 375,565,511,556/395,450
  6. Step 6: Final answer
    x = 949,716.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.