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Finding the Third Proportional to 133,096 and 290,278

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Solution

The third proportional to 133,096 and 290,278 is: 633,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,096 : 290,278 = 290,278 : x
  2. Step 2: Convert to fraction form
    133,096/290,278 = 290,278/x
  3. Step 3: Cross multiply
    133,096x = 290,278 × 290,278
  4. Step 4: Simplify right side
    133,096x = 84,261,317,284
  5. Step 5: Solve for x
    x = 84,261,317,284/133,096
  6. Step 6: Final answer
    x = 633,086.77

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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.