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Finding the Third Proportional to 394,149 and 847,347

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Solution

The third proportional to 394,149 and 847,347 is: 1,821,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,149 : 847,347 = 847,347 : x
  2. Step 2: Convert to fraction form
    394,149/847,347 = 847,347/x
  3. Step 3: Cross multiply
    394,149x = 847,347 × 847,347
  4. Step 4: Simplify right side
    394,149x = 717,996,938,409
  5. Step 5: Solve for x
    x = 717,996,938,409/394,149
  6. Step 6: Final answer
    x = 1,821,638.36

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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.