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Finding the Third Proportional to 133,217 and 290,839

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Solution

The third proportional to 133,217 and 290,839 is: 634,958.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,217 : 290,839 = 290,839 : x
  2. Step 2: Convert to fraction form
    133,217/290,839 = 290,839/x
  3. Step 3: Cross multiply
    133,217x = 290,839 × 290,839
  4. Step 4: Simplify right side
    133,217x = 84,587,323,921
  5. Step 5: Solve for x
    x = 84,587,323,921/133,217
  6. Step 6: Final answer
    x = 634,958.93

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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.