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Finding the Third Proportional to 389,072 and 836,273

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Solution

The third proportional to 389,072 and 836,273 is: 1,797,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,072 : 836,273 = 836,273 : x
  2. Step 2: Convert to fraction form
    389,072/836,273 = 836,273/x
  3. Step 3: Cross multiply
    389,072x = 836,273 × 836,273
  4. Step 4: Simplify right side
    389,072x = 699,352,530,529
  5. Step 5: Solve for x
    x = 699,352,530,529/389,072
  6. Step 6: Final answer
    x = 1,797,488.72

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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.