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Finding the Third Proportional to 133,978 and 291,204

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Solution

The third proportional to 133,978 and 291,204 is: 632,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,978 : 291,204 = 291,204 : x
  2. Step 2: Convert to fraction form
    133,978/291,204 = 291,204/x
  3. Step 3: Cross multiply
    133,978x = 291,204 × 291,204
  4. Step 4: Simplify right side
    133,978x = 84,799,769,616
  5. Step 5: Solve for x
    x = 84,799,769,616/133,978
  6. Step 6: Final answer
    x = 632,938.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.