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Finding the Third Proportional to 376,941 and 820,364

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Solution

The third proportional to 376,941 and 820,364 is: 1,785,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,941 : 820,364 = 820,364 : x
  2. Step 2: Convert to fraction form
    376,941/820,364 = 820,364/x
  3. Step 3: Cross multiply
    376,941x = 820,364 × 820,364
  4. Step 4: Simplify right side
    376,941x = 672,997,092,496
  5. Step 5: Solve for x
    x = 672,997,092,496/376,941
  6. Step 6: Final answer
    x = 1,785,417.59

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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.