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Finding the Third Proportional to 394,463 and 864,010

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Solution

The third proportional to 394,463 and 864,010 is: 1,892,479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,463 : 864,010 = 864,010 : x
  2. Step 2: Convert to fraction form
    394,463/864,010 = 864,010/x
  3. Step 3: Cross multiply
    394,463x = 864,010 × 864,010
  4. Step 4: Simplify right side
    394,463x = 746,513,280,100
  5. Step 5: Solve for x
    x = 746,513,280,100/394,463
  6. Step 6: Final answer
    x = 1,892,479.85

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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.