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Finding the Third Proportional to 133,089 and 290,761

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Solution

The third proportional to 133,089 and 290,761 is: 635,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,089 : 290,761 = 290,761 : x
  2. Step 2: Convert to fraction form
    133,089/290,761 = 290,761/x
  3. Step 3: Cross multiply
    133,089x = 290,761 × 290,761
  4. Step 4: Simplify right side
    133,089x = 84,541,959,121
  5. Step 5: Solve for x
    x = 84,541,959,121/133,089
  6. Step 6: Final answer
    x = 635,228.75

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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.