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Finding the Third Proportional to 112,172 and 239,908

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Solution

The third proportional to 112,172 and 239,908 is: 513,103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,172 : 239,908 = 239,908 : x
  2. Step 2: Convert to fraction form
    112,172/239,908 = 239,908/x
  3. Step 3: Cross multiply
    112,172x = 239,908 × 239,908
  4. Step 4: Simplify right side
    112,172x = 57,555,848,464
  5. Step 5: Solve for x
    x = 57,555,848,464/112,172
  6. Step 6: Final answer
    x = 513,103.52

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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.