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Finding the Third Proportional to 133,904 and 291,845

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Solution

The third proportional to 133,904 and 291,845 is: 636,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,904 : 291,845 = 291,845 : x
  2. Step 2: Convert to fraction form
    133,904/291,845 = 291,845/x
  3. Step 3: Cross multiply
    133,904x = 291,845 × 291,845
  4. Step 4: Simplify right side
    133,904x = 85,173,504,025
  5. Step 5: Solve for x
    x = 85,173,504,025/133,904
  6. Step 6: Final answer
    x = 636,078.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.