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Finding the Third Proportional to 1,815.38 and 2,715.84

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Solution

The third proportional to 1,815.38 and 2,715.84 is: 4,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.38 : 2,715.84 = 2,715.84 : x
  2. Step 2: Convert to fraction form
    1,815.38/2,715.84 = 2,715.84/x
  3. Step 3: Cross multiply
    1,815.38x = 2,715.84 × 2,715.84
  4. Step 4: Simplify right side
    1,815.38x = 7,375,807.27
  5. Step 5: Solve for x
    x = 7,375,807.27/1,815.38
  6. Step 6: Final answer
    x = 4,062.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.