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Finding the Third Proportional to 133,057 and 290,697

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Solution

The third proportional to 133,057 and 290,697 is: 635,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,057 : 290,697 = 290,697 : x
  2. Step 2: Convert to fraction form
    133,057/290,697 = 290,697/x
  3. Step 3: Cross multiply
    133,057x = 290,697 × 290,697
  4. Step 4: Simplify right side
    133,057x = 84,504,745,809
  5. Step 5: Solve for x
    x = 84,504,745,809/133,057
  6. Step 6: Final answer
    x = 635,101.84

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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.