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Finding the Third Proportional to 397,947 and 617,099

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Solution

The third proportional to 397,947 and 617,099 is: 956,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,947 : 617,099 = 617,099 : x
  2. Step 2: Convert to fraction form
    397,947/617,099 = 617,099/x
  3. Step 3: Cross multiply
    397,947x = 617,099 × 617,099
  4. Step 4: Simplify right side
    397,947x = 380,811,175,801
  5. Step 5: Solve for x
    x = 380,811,175,801/397,947
  6. Step 6: Final answer
    x = 956,939.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.