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Finding the Third Proportional to 371,876 and 813,816

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Solution

The third proportional to 371,876 and 813,816 is: 1,780,960.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,876 : 813,816 = 813,816 : x
  2. Step 2: Convert to fraction form
    371,876/813,816 = 813,816/x
  3. Step 3: Cross multiply
    371,876x = 813,816 × 813,816
  4. Step 4: Simplify right side
    371,876x = 662,296,481,856
  5. Step 5: Solve for x
    x = 662,296,481,856/371,876
  6. Step 6: Final answer
    x = 1,780,960.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.