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Finding the Third Proportional to 389,626 and 827,366

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Solution

The third proportional to 389,626 and 827,366 is: 1,756,901.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,626 : 827,366 = 827,366 : x
  2. Step 2: Convert to fraction form
    389,626/827,366 = 827,366/x
  3. Step 3: Cross multiply
    389,626x = 827,366 × 827,366
  4. Step 4: Simplify right side
    389,626x = 684,534,497,956
  5. Step 5: Solve for x
    x = 684,534,497,956/389,626
  6. Step 6: Final answer
    x = 1,756,901.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.