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Finding the Third Proportional to 377,600 and 820,936

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Solution

The third proportional to 377,600 and 820,936 is: 1,784,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,600 : 820,936 = 820,936 : x
  2. Step 2: Convert to fraction form
    377,600/820,936 = 820,936/x
  3. Step 3: Cross multiply
    377,600x = 820,936 × 820,936
  4. Step 4: Simplify right side
    377,600x = 673,935,916,096
  5. Step 5: Solve for x
    x = 673,935,916,096/377,600
  6. Step 6: Final answer
    x = 1,784,787.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.