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Finding the Third Proportional to 397,032 and 864,048

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Solution

The third proportional to 397,032 and 864,048 is: 1,880,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,032 : 864,048 = 864,048 : x
  2. Step 2: Convert to fraction form
    397,032/864,048 = 864,048/x
  3. Step 3: Cross multiply
    397,032x = 864,048 × 864,048
  4. Step 4: Simplify right side
    397,032x = 746,578,946,304
  5. Step 5: Solve for x
    x = 746,578,946,304/397,032
  6. Step 6: Final answer
    x = 1,880,399.93

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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.