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Finding the Third Proportional to 397,005 and 863,988

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Solution

The third proportional to 397,005 and 863,988 is: 1,880,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,005 : 863,988 = 863,988 : x
  2. Step 2: Convert to fraction form
    397,005/863,988 = 863,988/x
  3. Step 3: Cross multiply
    397,005x = 863,988 × 863,988
  4. Step 4: Simplify right side
    397,005x = 746,475,264,144
  5. Step 5: Solve for x
    x = 746,475,264,144/397,005
  6. Step 6: Final answer
    x = 1,880,266.66

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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.