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Finding the Third Proportional to 8,290.69 and 11,787.19

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Solution

The third proportional to 8,290.69 and 11,787.19 is: 16,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.69 : 11,787.19 = 11,787.19 : x
  2. Step 2: Convert to fraction form
    8,290.69/11,787.19 = 11,787.19/x
  3. Step 3: Cross multiply
    8,290.69x = 11,787.19 × 11,787.19
  4. Step 4: Simplify right side
    8,290.69x = 138,937,789.16
  5. Step 5: Solve for x
    x = 138,937,789.16/8,290.69
  6. Step 6: Final answer
    x = 16,758.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.