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Finding the Third Proportional to 819 and 1,827.56

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Solution

The third proportional to 819 and 1,827.56 is: 4,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    819 : 1,827.56 = 1,827.56 : x
  2. Step 2: Convert to fraction form
    819/1,827.56 = 1,827.56/x
  3. Step 3: Cross multiply
    819x = 1,827.56 × 1,827.56
  4. Step 4: Simplify right side
    819x = 3,339,984.69
  5. Step 5: Solve for x
    x = 3,339,984.69/819
  6. Step 6: Final answer
    x = 4,078.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.