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Finding the Third Proportional to 204,502 and 315,873

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Solution

The third proportional to 204,502 and 315,873 is: 487,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,502 : 315,873 = 315,873 : x
  2. Step 2: Convert to fraction form
    204,502/315,873 = 315,873/x
  3. Step 3: Cross multiply
    204,502x = 315,873 × 315,873
  4. Step 4: Simplify right side
    204,502x = 99,775,752,129
  5. Step 5: Solve for x
    x = 99,775,752,129/204,502
  6. Step 6: Final answer
    x = 487,896.22

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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.