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Finding the Third Proportional to 376,929 and 820,341

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Solution

The third proportional to 376,929 and 820,341 is: 1,785,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,929 : 820,341 = 820,341 : x
  2. Step 2: Convert to fraction form
    376,929/820,341 = 820,341/x
  3. Step 3: Cross multiply
    376,929x = 820,341 × 820,341
  4. Step 4: Simplify right side
    376,929x = 672,959,356,281
  5. Step 5: Solve for x
    x = 672,959,356,281/376,929
  6. Step 6: Final answer
    x = 1,785,374.32

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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.