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Finding the Third Proportional to 824.40 and 1,815.38

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Solution

The third proportional to 824.40 and 1,815.38 is: 3,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.40 : 1,815.38 = 1,815.38 : x
  2. Step 2: Convert to fraction form
    824.40/1,815.38 = 1,815.38/x
  3. Step 3: Cross multiply
    824.40x = 1,815.38 × 1,815.38
  4. Step 4: Simplify right side
    824.40x = 3,295,607.66
  5. Step 5: Solve for x
    x = 3,295,607.66/824.40
  6. Step 6: Final answer
    x = 3,997.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.