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Finding the Third Proportional to 376,186 and 820,919

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Solution

The third proportional to 376,186 and 820,919 is: 1,791,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,186 : 820,919 = 820,919 : x
  2. Step 2: Convert to fraction form
    376,186/820,919 = 820,919/x
  3. Step 3: Cross multiply
    376,186x = 820,919 × 820,919
  4. Step 4: Simplify right side
    376,186x = 673,908,004,561
  5. Step 5: Solve for x
    x = 673,908,004,561/376,186
  6. Step 6: Final answer
    x = 1,791,422.34

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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.