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Finding the Third Proportional to 377,010 and 820,493

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Solution

The third proportional to 377,010 and 820,493 is: 1,785,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,010 : 820,493 = 820,493 : x
  2. Step 2: Convert to fraction form
    377,010/820,493 = 820,493/x
  3. Step 3: Cross multiply
    377,010x = 820,493 × 820,493
  4. Step 4: Simplify right side
    377,010x = 673,208,763,049
  5. Step 5: Solve for x
    x = 673,208,763,049/377,010
  6. Step 6: Final answer
    x = 1,785,652.27

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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.