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Finding the Third Proportional to 376,900 and 820,231

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Solution

The third proportional to 376,900 and 820,231 is: 1,785,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,900 : 820,231 = 820,231 : x
  2. Step 2: Convert to fraction form
    376,900/820,231 = 820,231/x
  3. Step 3: Cross multiply
    376,900x = 820,231 × 820,231
  4. Step 4: Simplify right side
    376,900x = 672,778,893,361
  5. Step 5: Solve for x
    x = 672,778,893,361/376,900
  6. Step 6: Final answer
    x = 1,785,032.88

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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.