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Finding the Third Proportional to 133,086 and 290,259

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Solution

The third proportional to 133,086 and 290,259 is: 633,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,086 : 290,259 = 290,259 : x
  2. Step 2: Convert to fraction form
    133,086/290,259 = 290,259/x
  3. Step 3: Cross multiply
    133,086x = 290,259 × 290,259
  4. Step 4: Simplify right side
    133,086x = 84,250,287,081
  5. Step 5: Solve for x
    x = 84,250,287,081/133,086
  6. Step 6: Final answer
    x = 633,051.46

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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.