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Finding the Third Proportional to 133,109 and 290,782

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Solution

The third proportional to 133,109 and 290,782 is: 635,225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,109 : 290,782 = 290,782 : x
  2. Step 2: Convert to fraction form
    133,109/290,782 = 290,782/x
  3. Step 3: Cross multiply
    133,109x = 290,782 × 290,782
  4. Step 4: Simplify right side
    133,109x = 84,554,171,524
  5. Step 5: Solve for x
    x = 84,554,171,524/133,109
  6. Step 6: Final answer
    x = 635,225.05

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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.