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Finding the Third Proportional to 7,787.25 and 11,761.88

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Solution

The third proportional to 7,787.25 and 11,761.88 is: 17,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.25 : 11,761.88 = 11,761.88 : x
  2. Step 2: Convert to fraction form
    7,787.25/11,761.88 = 11,761.88/x
  3. Step 3: Cross multiply
    7,787.25x = 11,761.88 × 11,761.88
  4. Step 4: Simplify right side
    7,787.25x = 138,341,703.52
  5. Step 5: Solve for x
    x = 138,341,703.52/7,787.25
  6. Step 6: Final answer
    x = 17,765.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.