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Finding the Third Proportional to 380,569 and 836,471

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Solution

The third proportional to 380,569 and 836,471 is: 1,838,520.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,569 : 836,471 = 836,471 : x
  2. Step 2: Convert to fraction form
    380,569/836,471 = 836,471/x
  3. Step 3: Cross multiply
    380,569x = 836,471 × 836,471
  4. Step 4: Simplify right side
    380,569x = 699,683,733,841
  5. Step 5: Solve for x
    x = 699,683,733,841/380,569
  6. Step 6: Final answer
    x = 1,838,520.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.