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Finding the Third Proportional to 414,464 and 858,412

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Solution

The third proportional to 414,464 and 858,412 is: 1,777,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,464 : 858,412 = 858,412 : x
  2. Step 2: Convert to fraction form
    414,464/858,412 = 858,412/x
  3. Step 3: Cross multiply
    414,464x = 858,412 × 858,412
  4. Step 4: Simplify right side
    414,464x = 736,871,161,744
  5. Step 5: Solve for x
    x = 736,871,161,744/414,464
  6. Step 6: Final answer
    x = 1,777,889.42

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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.