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Finding the Third Proportional to 20,787.50 and 48,805

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Solution

The third proportional to 20,787.50 and 48,805 is: 114,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,787.50 : 48,805 = 48,805 : x
  2. Step 2: Convert to fraction form
    20,787.50/48,805 = 48,805/x
  3. Step 3: Cross multiply
    20,787.50x = 48,805 × 48,805
  4. Step 4: Simplify right side
    20,787.50x = 2,381,928,025
  5. Step 5: Solve for x
    x = 2,381,928,025/20,787.50
  6. Step 6: Final answer
    x = 114,584.63

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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.