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Finding the Third Proportional to 377,008 and 820,489

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Solution

The third proportional to 377,008 and 820,489 is: 1,785,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,008 : 820,489 = 820,489 : x
  2. Step 2: Convert to fraction form
    377,008/820,489 = 820,489/x
  3. Step 3: Cross multiply
    377,008x = 820,489 × 820,489
  4. Step 4: Simplify right side
    377,008x = 673,202,199,121
  5. Step 5: Solve for x
    x = 673,202,199,121/377,008
  6. Step 6: Final answer
    x = 1,785,644.33

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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.