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Finding the Third Proportional to 399,273 and 856,962

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Solution

The third proportional to 399,273 and 856,962 is: 1,839,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,273 : 856,962 = 856,962 : x
  2. Step 2: Convert to fraction form
    399,273/856,962 = 856,962/x
  3. Step 3: Cross multiply
    399,273x = 856,962 × 856,962
  4. Step 4: Simplify right side
    399,273x = 734,383,869,444
  5. Step 5: Solve for x
    x = 734,383,869,444/399,273
  6. Step 6: Final answer
    x = 1,839,302.61

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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.