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Finding the Third Proportional to 109,787.25 and 239,655

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Solution

The third proportional to 109,787.25 and 239,655 is: 523,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,787.25 : 239,655 = 239,655 : x
  2. Step 2: Convert to fraction form
    109,787.25/239,655 = 239,655/x
  3. Step 3: Cross multiply
    109,787.25x = 239,655 × 239,655
  4. Step 4: Simplify right side
    109,787.25x = 57,434,519,025
  5. Step 5: Solve for x
    x = 57,434,519,025/109,787.25
  6. Step 6: Final answer
    x = 523,143.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.