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Finding the Third Proportional to 51,362 and 107,692

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Solution

The third proportional to 51,362 and 107,692 is: 225,800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,362 : 107,692 = 107,692 : x
  2. Step 2: Convert to fraction form
    51,362/107,692 = 107,692/x
  3. Step 3: Cross multiply
    51,362x = 107,692 × 107,692
  4. Step 4: Simplify right side
    51,362x = 11,597,566,864
  5. Step 5: Solve for x
    x = 11,597,566,864/51,362
  6. Step 6: Final answer
    x = 225,800.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.