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Finding the Third Proportional to 392,396.75 and 838,321

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Solution

The third proportional to 392,396.75 and 838,321 is: 1,790,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,396.75 : 838,321 = 838,321 : x
  2. Step 2: Convert to fraction form
    392,396.75/838,321 = 838,321/x
  3. Step 3: Cross multiply
    392,396.75x = 838,321 × 838,321
  4. Step 4: Simplify right side
    392,396.75x = 702,782,099,041
  5. Step 5: Solve for x
    x = 702,782,099,041/392,396.75
  6. Step 6: Final answer
    x = 1,790,998.78

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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.