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Finding the Third Proportional to 376,939 and 820,360

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Solution

The third proportional to 376,939 and 820,360 is: 1,785,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,939 : 820,360 = 820,360 : x
  2. Step 2: Convert to fraction form
    376,939/820,360 = 820,360/x
  3. Step 3: Cross multiply
    376,939x = 820,360 × 820,360
  4. Step 4: Simplify right side
    376,939x = 672,990,529,600
  5. Step 5: Solve for x
    x = 672,990,529,600/376,939
  6. Step 6: Final answer
    x = 1,785,409.65

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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.