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Finding the Third Proportional to 829.08 and 1,787.67

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Solution

The third proportional to 829.08 and 1,787.67 is: 3,854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.08 : 1,787.67 = 1,787.67 : x
  2. Step 2: Convert to fraction form
    829.08/1,787.67 = 1,787.67/x
  3. Step 3: Cross multiply
    829.08x = 1,787.67 × 1,787.67
  4. Step 4: Simplify right side
    829.08x = 3,195,770.73
  5. Step 5: Solve for x
    x = 3,195,770.73/829.08
  6. Step 6: Final answer
    x = 3,854.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.