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Finding the Third Proportional to 414,458 and 858,400

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Solution

The third proportional to 414,458 and 858,400 is: 1,777,865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,458 : 858,400 = 858,400 : x
  2. Step 2: Convert to fraction form
    414,458/858,400 = 858,400/x
  3. Step 3: Cross multiply
    414,458x = 858,400 × 858,400
  4. Step 4: Simplify right side
    414,458x = 736,850,560,000
  5. Step 5: Solve for x
    x = 736,850,560,000/414,458
  6. Step 6: Final answer
    x = 1,777,865.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.