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Finding the Third Proportional to 550,578 and 815,631

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Solution

The third proportional to 550,578 and 815,631 is: 1,208,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,578 : 815,631 = 815,631 : x
  2. Step 2: Convert to fraction form
    550,578/815,631 = 815,631/x
  3. Step 3: Cross multiply
    550,578x = 815,631 × 815,631
  4. Step 4: Simplify right side
    550,578x = 665,253,928,161
  5. Step 5: Solve for x
    x = 665,253,928,161/550,578
  6. Step 6: Final answer
    x = 1,208,282.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.