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Finding the Third Proportional to 1,815.75 and 2,635.88

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Solution

The third proportional to 1,815.75 and 2,635.88 is: 3,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.75 : 2,635.88 = 2,635.88 : x
  2. Step 2: Convert to fraction form
    1,815.75/2,635.88 = 2,635.88/x
  3. Step 3: Cross multiply
    1,815.75x = 2,635.88 × 2,635.88
  4. Step 4: Simplify right side
    1,815.75x = 6,947,837.02
  5. Step 5: Solve for x
    x = 6,947,837.02/1,815.75
  6. Step 6: Final answer
    x = 3,826.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.