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Finding the Third Proportional to 820,578 and 1,204,242

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Solution

The third proportional to 820,578 and 1,204,242 is: 1,767,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,578 : 1,204,242 = 1,204,242 : x
  2. Step 2: Convert to fraction form
    820,578/1,204,242 = 1,204,242/x
  3. Step 3: Cross multiply
    820,578x = 1,204,242 × 1,204,242
  4. Step 4: Simplify right side
    820,578x = 1,450,198,794,564
  5. Step 5: Solve for x
    x = 1,450,198,794,564/820,578
  6. Step 6: Final answer
    x = 1,767,289.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.