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Finding the Third Proportional to 2,219.70 and 4,785.43

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Solution

The third proportional to 2,219.70 and 4,785.43 is: 10,316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.70 : 4,785.43 = 4,785.43 : x
  2. Step 2: Convert to fraction form
    2,219.70/4,785.43 = 4,785.43/x
  3. Step 3: Cross multiply
    2,219.70x = 4,785.43 × 4,785.43
  4. Step 4: Simplify right side
    2,219.70x = 22,900,374.68
  5. Step 5: Solve for x
    x = 22,900,374.68/2,219.70
  6. Step 6: Final answer
    x = 10,316.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.