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Finding the Third Proportional to 2,787.96 and 6,122.67

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Solution

The third proportional to 2,787.96 and 6,122.67 is: 13,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.96 : 6,122.67 = 6,122.67 : x
  2. Step 2: Convert to fraction form
    2,787.96/6,122.67 = 6,122.67/x
  3. Step 3: Cross multiply
    2,787.96x = 6,122.67 × 6,122.67
  4. Step 4: Simplify right side
    2,787.96x = 37,487,110.89
  5. Step 5: Solve for x
    x = 37,487,110.89/2,787.96
  6. Step 6: Final answer
    x = 13,446.07

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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.