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Finding the Third Proportional to 418,366 and 858,980

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Solution

The third proportional to 418,366 and 858,980 is: 1,763,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,366 : 858,980 = 858,980 : x
  2. Step 2: Convert to fraction form
    418,366/858,980 = 858,980/x
  3. Step 3: Cross multiply
    418,366x = 858,980 × 858,980
  4. Step 4: Simplify right side
    418,366x = 737,846,640,400
  5. Step 5: Solve for x
    x = 737,846,640,400/418,366
  6. Step 6: Final answer
    x = 1,763,639.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.