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Finding the Third Proportional to 4,446.14 and 9,046.05

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Solution

The third proportional to 4,446.14 and 9,046.05 is: 18,404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.14 : 9,046.05 = 9,046.05 : x
  2. Step 2: Convert to fraction form
    4,446.14/9,046.05 = 9,046.05/x
  3. Step 3: Cross multiply
    4,446.14x = 9,046.05 × 9,046.05
  4. Step 4: Simplify right side
    4,446.14x = 81,831,105.41
  5. Step 5: Solve for x
    x = 81,831,105.41/4,446.14
  6. Step 6: Final answer
    x = 18,404.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.