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Finding the Third Proportional to 51,121.75 and 109,351

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Solution

The third proportional to 51,121.75 and 109,351 is: 233,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,121.75 : 109,351 = 109,351 : x
  2. Step 2: Convert to fraction form
    51,121.75/109,351 = 109,351/x
  3. Step 3: Cross multiply
    51,121.75x = 109,351 × 109,351
  4. Step 4: Simplify right side
    51,121.75x = 11,957,641,201
  5. Step 5: Solve for x
    x = 11,957,641,201/51,121.75
  6. Step 6: Final answer
    x = 233,905.16

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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.