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Finding the Third Proportional to 379,912 and 820,720

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Solution

The third proportional to 379,912 and 820,720 is: 1,772,993.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,912 : 820,720 = 820,720 : x
  2. Step 2: Convert to fraction form
    379,912/820,720 = 820,720/x
  3. Step 3: Cross multiply
    379,912x = 820,720 × 820,720
  4. Step 4: Simplify right side
    379,912x = 673,581,318,400
  5. Step 5: Solve for x
    x = 673,581,318,400/379,912
  6. Step 6: Final answer
    x = 1,772,993.00

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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.