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Finding the Third Proportional to 394,534 and 838,276

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Solution

The third proportional to 394,534 and 838,276 is: 1,781,105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,534 : 838,276 = 838,276 : x
  2. Step 2: Convert to fraction form
    394,534/838,276 = 838,276/x
  3. Step 3: Cross multiply
    394,534x = 838,276 × 838,276
  4. Step 4: Simplify right side
    394,534x = 702,706,652,176
  5. Step 5: Solve for x
    x = 702,706,652,176/394,534
  6. Step 6: Final answer
    x = 1,781,105.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.