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Finding the Third Proportional to 376,883 and 820,190

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Solution

The third proportional to 376,883 and 820,190 is: 1,784,934.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,883 : 820,190 = 820,190 : x
  2. Step 2: Convert to fraction form
    376,883/820,190 = 820,190/x
  3. Step 3: Cross multiply
    376,883x = 820,190 × 820,190
  4. Step 4: Simplify right side
    376,883x = 672,711,636,100
  5. Step 5: Solve for x
    x = 672,711,636,100/376,883
  6. Step 6: Final answer
    x = 1,784,934.94

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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.