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Finding the Third Proportional to 829.93 and 1,787.70

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Solution

The third proportional to 829.93 and 1,787.70 is: 3,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.93 : 1,787.70 = 1,787.70 : x
  2. Step 2: Convert to fraction form
    829.93/1,787.70 = 1,787.70/x
  3. Step 3: Cross multiply
    829.93x = 1,787.70 × 1,787.70
  4. Step 4: Simplify right side
    829.93x = 3,195,854.53
  5. Step 5: Solve for x
    x = 3,195,854.53/829.93
  6. Step 6: Final answer
    x = 3,850.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.