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Finding the Third Proportional to 2,219.91 and 5,139.70

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Solution

The third proportional to 2,219.91 and 5,139.70 is: 11,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.91 : 5,139.70 = 5,139.70 : x
  2. Step 2: Convert to fraction form
    2,219.91/5,139.70 = 5,139.70/x
  3. Step 3: Cross multiply
    2,219.91x = 5,139.70 × 5,139.70
  4. Step 4: Simplify right side
    2,219.91x = 26,416,548.21
  5. Step 5: Solve for x
    x = 26,416,548.21/2,219.91
  6. Step 6: Final answer
    x = 11,899.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.