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Finding the Third Proportional to 399,504 and 855,872

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Solution

The third proportional to 399,504 and 855,872 is: 1,833,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,504 : 855,872 = 855,872 : x
  2. Step 2: Convert to fraction form
    399,504/855,872 = 855,872/x
  3. Step 3: Cross multiply
    399,504x = 855,872 × 855,872
  4. Step 4: Simplify right side
    399,504x = 732,516,880,384
  5. Step 5: Solve for x
    x = 732,516,880,384/399,504
  6. Step 6: Final answer
    x = 1,833,565.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.