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Finding the Third Proportional to 376,938 and 820,359

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Solution

The third proportional to 376,938 and 820,359 is: 1,785,410.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,938 : 820,359 = 820,359 : x
  2. Step 2: Convert to fraction form
    376,938/820,359 = 820,359/x
  3. Step 3: Cross multiply
    376,938x = 820,359 × 820,359
  4. Step 4: Simplify right side
    376,938x = 672,988,888,881
  5. Step 5: Solve for x
    x = 672,988,888,881/376,938
  6. Step 6: Final answer
    x = 1,785,410.04

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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.