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Finding the Third Proportional to 133,171 and 285,295

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Solution

The third proportional to 133,171 and 285,295 is: 611,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,171 : 285,295 = 285,295 : x
  2. Step 2: Convert to fraction form
    133,171/285,295 = 285,295/x
  3. Step 3: Cross multiply
    133,171x = 285,295 × 285,295
  4. Step 4: Simplify right side
    133,171x = 81,393,237,025
  5. Step 5: Solve for x
    x = 81,393,237,025/133,171
  6. Step 6: Final answer
    x = 611,193.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.