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Finding the Third Proportional to 820,489 and 1,772,198

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Solution

The third proportional to 820,489 and 1,772,198 is: 3,827,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,489 : 1,772,198 = 1,772,198 : x
  2. Step 2: Convert to fraction form
    820,489/1,772,198 = 1,772,198/x
  3. Step 3: Cross multiply
    820,489x = 1,772,198 × 1,772,198
  4. Step 4: Simplify right side
    820,489x = 3,140,685,751,204
  5. Step 5: Solve for x
    x = 3,140,685,751,204/820,489
  6. Step 6: Final answer
    x = 3,827,821.89

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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.