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Finding the Third Proportional to 397,182 and 864,249

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Solution

The third proportional to 397,182 and 864,249 is: 1,880,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,182 : 864,249 = 864,249 : x
  2. Step 2: Convert to fraction form
    397,182/864,249 = 864,249/x
  3. Step 3: Cross multiply
    397,182x = 864,249 × 864,249
  4. Step 4: Simplify right side
    397,182x = 746,926,334,001
  5. Step 5: Solve for x
    x = 746,926,334,001/397,182
  6. Step 6: Final answer
    x = 1,880,564.41

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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.