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Finding the Third Proportional to 133,221 and 278,758

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Solution

The third proportional to 133,221 and 278,758 is: 583,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,221 : 278,758 = 278,758 : x
  2. Step 2: Convert to fraction form
    133,221/278,758 = 278,758/x
  3. Step 3: Cross multiply
    133,221x = 278,758 × 278,758
  4. Step 4: Simplify right side
    133,221x = 77,706,022,564
  5. Step 5: Solve for x
    x = 77,706,022,564/133,221
  6. Step 6: Final answer
    x = 583,286.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.