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Finding the Third Proportional to 418,364 and 858,976

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Solution

The third proportional to 418,364 and 858,976 is: 1,763,631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,364 : 858,976 = 858,976 : x
  2. Step 2: Convert to fraction form
    418,364/858,976 = 858,976/x
  3. Step 3: Cross multiply
    418,364x = 858,976 × 858,976
  4. Step 4: Simplify right side
    418,364x = 737,839,768,576
  5. Step 5: Solve for x
    x = 737,839,768,576/418,364
  6. Step 6: Final answer
    x = 1,763,631.12

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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.