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Finding the Third Proportional to 376,029 and 820,656

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Solution

The third proportional to 376,029 and 820,656 is: 1,791,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,029 : 820,656 = 820,656 : x
  2. Step 2: Convert to fraction form
    376,029/820,656 = 820,656/x
  3. Step 3: Cross multiply
    376,029x = 820,656 × 820,656
  4. Step 4: Simplify right side
    376,029x = 673,476,270,336
  5. Step 5: Solve for x
    x = 673,476,270,336/376,029
  6. Step 6: Final answer
    x = 1,791,022.16

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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.