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Finding the Third Proportional to 133,717 and 275,908

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Solution

The third proportional to 133,717 and 275,908 is: 569,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,717 : 275,908 = 275,908 : x
  2. Step 2: Convert to fraction form
    133,717/275,908 = 275,908/x
  3. Step 3: Cross multiply
    133,717x = 275,908 × 275,908
  4. Step 4: Simplify right side
    133,717x = 76,125,224,464
  5. Step 5: Solve for x
    x = 76,125,224,464/133,717
  6. Step 6: Final answer
    x = 569,301.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.