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Finding the Third Proportional to 386,704 and 856,352

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Solution

The third proportional to 386,704 and 856,352 is: 1,896,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,704 : 856,352 = 856,352 : x
  2. Step 2: Convert to fraction form
    386,704/856,352 = 856,352/x
  3. Step 3: Cross multiply
    386,704x = 856,352 × 856,352
  4. Step 4: Simplify right side
    386,704x = 733,338,747,904
  5. Step 5: Solve for x
    x = 733,338,747,904/386,704
  6. Step 6: Final answer
    x = 1,896,382.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.