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Finding the Third Proportional to 101,920 and 239,812

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Solution

The third proportional to 101,920 and 239,812 is: 564,264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,920 : 239,812 = 239,812 : x
  2. Step 2: Convert to fraction form
    101,920/239,812 = 239,812/x
  3. Step 3: Cross multiply
    101,920x = 239,812 × 239,812
  4. Step 4: Simplify right side
    101,920x = 57,509,795,344
  5. Step 5: Solve for x
    x = 57,509,795,344/101,920
  6. Step 6: Final answer
    x = 564,264.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.