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Finding the Third Proportional to 399,288 and 856,992

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Solution

The third proportional to 399,288 and 856,992 is: 1,839,362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,288 : 856,992 = 856,992 : x
  2. Step 2: Convert to fraction form
    399,288/856,992 = 856,992/x
  3. Step 3: Cross multiply
    399,288x = 856,992 × 856,992
  4. Step 4: Simplify right side
    399,288x = 734,435,288,064
  5. Step 5: Solve for x
    x = 734,435,288,064/399,288
  6. Step 6: Final answer
    x = 1,839,362.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.