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Finding the Third Proportional to 133,081 and 290,745

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Solution

The third proportional to 133,081 and 290,745 is: 635,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,081 : 290,745 = 290,745 : x
  2. Step 2: Convert to fraction form
    133,081/290,745 = 290,745/x
  3. Step 3: Cross multiply
    133,081x = 290,745 × 290,745
  4. Step 4: Simplify right side
    133,081x = 84,532,655,025
  5. Step 5: Solve for x
    x = 84,532,655,025/133,081
  6. Step 6: Final answer
    x = 635,197.02

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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.