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Finding the Third Proportional to 393,900 and 859,092

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Solution

The third proportional to 393,900 and 859,092 is: 1,873,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,900 : 859,092 = 859,092 : x
  2. Step 2: Convert to fraction form
    393,900/859,092 = 859,092/x
  3. Step 3: Cross multiply
    393,900x = 859,092 × 859,092
  4. Step 4: Simplify right side
    393,900x = 738,039,064,464
  5. Step 5: Solve for x
    x = 738,039,064,464/393,900
  6. Step 6: Final answer
    x = 1,873,671.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.