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Finding the Third Proportional to 133,083 and 290,749

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Solution

The third proportional to 133,083 and 290,749 is: 635,204.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,083 : 290,749 = 290,749 : x
  2. Step 2: Convert to fraction form
    133,083/290,749 = 290,749/x
  3. Step 3: Cross multiply
    133,083x = 290,749 × 290,749
  4. Step 4: Simplify right side
    133,083x = 84,534,981,001
  5. Step 5: Solve for x
    x = 84,534,981,001/133,083
  6. Step 6: Final answer
    x = 635,204.95

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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.