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Finding the Third Proportional to 376,679 and 813,109

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Solution

The third proportional to 376,679 and 813,109 is: 1,755,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,679 : 813,109 = 813,109 : x
  2. Step 2: Convert to fraction form
    376,679/813,109 = 813,109/x
  3. Step 3: Cross multiply
    376,679x = 813,109 × 813,109
  4. Step 4: Simplify right side
    376,679x = 661,146,245,881
  5. Step 5: Solve for x
    x = 661,146,245,881/376,679
  6. Step 6: Final answer
    x = 1,755,198.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.