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Finding the Third Proportional to 394,148 and 847,345

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Solution

The third proportional to 394,148 and 847,345 is: 1,821,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,148 : 847,345 = 847,345 : x
  2. Step 2: Convert to fraction form
    394,148/847,345 = 847,345/x
  3. Step 3: Cross multiply
    394,148x = 847,345 × 847,345
  4. Step 4: Simplify right side
    394,148x = 717,993,549,025
  5. Step 5: Solve for x
    x = 717,993,549,025/394,148
  6. Step 6: Final answer
    x = 1,821,634.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.