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Finding the Third Proportional to 133,055 and 290,693

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Solution

The third proportional to 133,055 and 290,693 is: 635,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,055 : 290,693 = 290,693 : x
  2. Step 2: Convert to fraction form
    133,055/290,693 = 290,693/x
  3. Step 3: Cross multiply
    133,055x = 290,693 × 290,693
  4. Step 4: Simplify right side
    133,055x = 84,502,420,249
  5. Step 5: Solve for x
    x = 84,502,420,249/133,055
  6. Step 6: Final answer
    x = 635,093.91

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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.