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Finding the Third Proportional to 111,602 and 239,872

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Solution

The third proportional to 111,602 and 239,872 is: 515,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,602 : 239,872 = 239,872 : x
  2. Step 2: Convert to fraction form
    111,602/239,872 = 239,872/x
  3. Step 3: Cross multiply
    111,602x = 239,872 × 239,872
  4. Step 4: Simplify right side
    111,602x = 57,538,576,384
  5. Step 5: Solve for x
    x = 57,538,576,384/111,602
  6. Step 6: Final answer
    x = 515,569.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.