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Finding the Third Proportional to 133,371 and 204,497.25

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Solution

The third proportional to 133,371 and 204,497.25 is: 313,554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,371 : 204,497.25 = 204,497.25 : x
  2. Step 2: Convert to fraction form
    133,371/204,497.25 = 204,497.25/x
  3. Step 3: Cross multiply
    133,371x = 204,497.25 × 204,497.25
  4. Step 4: Simplify right side
    133,371x = 41,819,125,257.56
  5. Step 5: Solve for x
    x = 41,819,125,257.56/133,371
  6. Step 6: Final answer
    x = 313,554.86

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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.