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Finding the Third Proportional to 133,636 and 205,493

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Solution

The third proportional to 133,636 and 205,493 is: 315,988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,636 : 205,493 = 205,493 : x
  2. Step 2: Convert to fraction form
    133,636/205,493 = 205,493/x
  3. Step 3: Cross multiply
    133,636x = 205,493 × 205,493
  4. Step 4: Simplify right side
    133,636x = 42,227,373,049
  5. Step 5: Solve for x
    x = 42,227,373,049/133,636
  6. Step 6: Final answer
    x = 315,988.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.