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Finding the Third Proportional to 394,344 and 859,140

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Solution

The third proportional to 394,344 and 859,140 is: 1,871,770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,344 : 859,140 = 859,140 : x
  2. Step 2: Convert to fraction form
    394,344/859,140 = 859,140/x
  3. Step 3: Cross multiply
    394,344x = 859,140 × 859,140
  4. Step 4: Simplify right side
    394,344x = 738,121,539,600
  5. Step 5: Solve for x
    x = 738,121,539,600/394,344
  6. Step 6: Final answer
    x = 1,871,770.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.