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Finding the Third Proportional to 133,377.75 and 204,507

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Solution

The third proportional to 133,377.75 and 204,507 is: 313,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,377.75 : 204,507 = 204,507 : x
  2. Step 2: Convert to fraction form
    133,377.75/204,507 = 204,507/x
  3. Step 3: Cross multiply
    133,377.75x = 204,507 × 204,507
  4. Step 4: Simplify right side
    133,377.75x = 41,823,113,049
  5. Step 5: Solve for x
    x = 41,823,113,049/133,377.75
  6. Step 6: Final answer
    x = 313,568.89

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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.