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Finding the Third Proportional to 133,517 and 178,351

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Solution

The third proportional to 133,517 and 178,351 is: 238,239.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,517 : 178,351 = 178,351 : x
  2. Step 2: Convert to fraction form
    133,517/178,351 = 178,351/x
  3. Step 3: Cross multiply
    133,517x = 178,351 × 178,351
  4. Step 4: Simplify right side
    133,517x = 31,809,079,201
  5. Step 5: Solve for x
    x = 31,809,079,201/133,517
  6. Step 6: Final answer
    x = 238,239.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.