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Finding the Third Proportional to 397,344 and 864,768

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Solution

The third proportional to 397,344 and 864,768 is: 1,882,056.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,344 : 864,768 = 864,768 : x
  2. Step 2: Convert to fraction form
    397,344/864,768 = 864,768/x
  3. Step 3: Cross multiply
    397,344x = 864,768 × 864,768
  4. Step 4: Simplify right side
    397,344x = 747,823,693,824
  5. Step 5: Solve for x
    x = 747,823,693,824/397,344
  6. Step 6: Final answer
    x = 1,882,056.09

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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.