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Finding the Third Proportional to 133,272 and 290,610

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Solution

The third proportional to 133,272 and 290,610 is: 633,697.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,272 : 290,610 = 290,610 : x
  2. Step 2: Convert to fraction form
    133,272/290,610 = 290,610/x
  3. Step 3: Cross multiply
    133,272x = 290,610 × 290,610
  4. Step 4: Simplify right side
    133,272x = 84,454,172,100
  5. Step 5: Solve for x
    x = 84,454,172,100/133,272
  6. Step 6: Final answer
    x = 633,697.79

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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.