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Finding the Third Proportional to 204,722 and 315,831

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Solution

The third proportional to 204,722 and 315,831 is: 487,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,722 : 315,831 = 315,831 : x
  2. Step 2: Convert to fraction form
    204,722/315,831 = 315,831/x
  3. Step 3: Cross multiply
    204,722x = 315,831 × 315,831
  4. Step 4: Simplify right side
    204,722x = 99,749,220,561
  5. Step 5: Solve for x
    x = 99,749,220,561/204,722
  6. Step 6: Final answer
    x = 487,242.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.