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Finding the Third Proportional to 133,535 and 203,671

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Solution

The third proportional to 133,535 and 203,671 is: 310,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,535 : 203,671 = 203,671 : x
  2. Step 2: Convert to fraction form
    133,535/203,671 = 203,671/x
  3. Step 3: Cross multiply
    133,535x = 203,671 × 203,671
  4. Step 4: Simplify right side
    133,535x = 41,481,876,241
  5. Step 5: Solve for x
    x = 41,481,876,241/133,535
  6. Step 6: Final answer
    x = 310,644.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.