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Finding the Third Proportional to 204,755 and 309,998

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Solution

The third proportional to 204,755 and 309,998 is: 469,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,755 : 309,998 = 309,998 : x
  2. Step 2: Convert to fraction form
    204,755/309,998 = 309,998/x
  3. Step 3: Cross multiply
    204,755x = 309,998 × 309,998
  4. Step 4: Simplify right side
    204,755x = 96,098,760,004
  5. Step 5: Solve for x
    x = 96,098,760,004/204,755
  6. Step 6: Final answer
    x = 469,335.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.