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Finding the Third Proportional to 111,124 and 239,623

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Solution

The third proportional to 111,124 and 239,623 is: 516,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,124 : 239,623 = 239,623 : x
  2. Step 2: Convert to fraction form
    111,124/239,623 = 239,623/x
  3. Step 3: Cross multiply
    111,124x = 239,623 × 239,623
  4. Step 4: Simplify right side
    111,124x = 57,419,182,129
  5. Step 5: Solve for x
    x = 57,419,182,129/111,124
  6. Step 6: Final answer
    x = 516,712.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.