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Finding the Third Proportional to 819 and 1,815

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Solution

The third proportional to 819 and 1,815 is: 4,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    819 : 1,815 = 1,815 : x
  2. Step 2: Convert to fraction form
    819/1,815 = 1,815/x
  3. Step 3: Cross multiply
    819x = 1,815 × 1,815
  4. Step 4: Simplify right side
    819x = 3,294,225
  5. Step 5: Solve for x
    x = 3,294,225/819
  6. Step 6: Final answer
    x = 4,022.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.