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Finding the Third Proportional to 111,098 and 244,432

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Solution

The third proportional to 111,098 and 244,432 is: 537,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,098 : 244,432 = 244,432 : x
  2. Step 2: Convert to fraction form
    111,098/244,432 = 244,432/x
  3. Step 3: Cross multiply
    111,098x = 244,432 × 244,432
  4. Step 4: Simplify right side
    111,098x = 59,747,002,624
  5. Step 5: Solve for x
    x = 59,747,002,624/111,098
  6. Step 6: Final answer
    x = 537,786.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.