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Finding the Third Proportional to 394,165 and 864,630

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Solution

The third proportional to 394,165 and 864,630 is: 1,896,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,165 : 864,630 = 864,630 : x
  2. Step 2: Convert to fraction form
    394,165/864,630 = 864,630/x
  3. Step 3: Cross multiply
    394,165x = 864,630 × 864,630
  4. Step 4: Simplify right side
    394,165x = 747,585,036,900
  5. Step 5: Solve for x
    x = 747,585,036,900/394,165
  6. Step 6: Final answer
    x = 1,896,629.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.