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Finding the Third Proportional to 1,818.38 and 4,027.88

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Solution

The third proportional to 1,818.38 and 4,027.88 is: 8,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.38 : 4,027.88 = 4,027.88 : x
  2. Step 2: Convert to fraction form
    1,818.38/4,027.88 = 4,027.88/x
  3. Step 3: Cross multiply
    1,818.38x = 4,027.88 × 4,027.88
  4. Step 4: Simplify right side
    1,818.38x = 16,223,777.02
  5. Step 5: Solve for x
    x = 16,223,777.02/1,818.38
  6. Step 6: Final answer
    x = 8,922.13

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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.