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Finding the Third Proportional to 828.42 and 1,771.45

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Solution

The third proportional to 828.42 and 1,771.45 is: 3,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.42 : 1,771.45 = 1,771.45 : x
  2. Step 2: Convert to fraction form
    828.42/1,771.45 = 1,771.45/x
  3. Step 3: Cross multiply
    828.42x = 1,771.45 × 1,771.45
  4. Step 4: Simplify right side
    828.42x = 3,138,046.17
  5. Step 5: Solve for x
    x = 3,138,046.17/828.42
  6. Step 6: Final answer
    x = 3,787.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.