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Finding the Third Proportional to 51,559 and 109,219

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Solution

The third proportional to 51,559 and 109,219 is: 231,361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,559 : 109,219 = 109,219 : x
  2. Step 2: Convert to fraction form
    51,559/109,219 = 109,219/x
  3. Step 3: Cross multiply
    51,559x = 109,219 × 109,219
  4. Step 4: Simplify right side
    51,559x = 11,928,789,961
  5. Step 5: Solve for x
    x = 11,928,789,961/51,559
  6. Step 6: Final answer
    x = 231,361.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.