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Finding the Third Proportional to 115,191 and 239,577

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Solution

The third proportional to 115,191 and 239,577 is: 498,277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,191 : 239,577 = 239,577 : x
  2. Step 2: Convert to fraction form
    115,191/239,577 = 239,577/x
  3. Step 3: Cross multiply
    115,191x = 239,577 × 239,577
  4. Step 4: Simplify right side
    115,191x = 57,397,138,929
  5. Step 5: Solve for x
    x = 57,397,138,929/115,191
  6. Step 6: Final answer
    x = 498,277.98

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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.