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Finding the Third Proportional to 115,212 and 239,620.75

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Solution

The third proportional to 115,212 and 239,620.75 is: 498,369.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,212 : 239,620.75 = 239,620.75 : x
  2. Step 2: Convert to fraction form
    115,212/239,620.75 = 239,620.75/x
  3. Step 3: Cross multiply
    115,212x = 239,620.75 × 239,620.75
  4. Step 4: Simplify right side
    115,212x = 57,418,103,830.56
  5. Step 5: Solve for x
    x = 57,418,103,830.56/115,212
  6. Step 6: Final answer
    x = 498,369.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.