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Finding the Third Proportional to 3,049.13 and 4,457.44

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Solution

The third proportional to 3,049.13 and 4,457.44 is: 6,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.13 : 4,457.44 = 4,457.44 : x
  2. Step 2: Convert to fraction form
    3,049.13/4,457.44 = 4,457.44/x
  3. Step 3: Cross multiply
    3,049.13x = 4,457.44 × 4,457.44
  4. Step 4: Simplify right side
    3,049.13x = 19,868,749.07
  5. Step 5: Solve for x
    x = 19,868,749.07/3,049.13
  6. Step 6: Final answer
    x = 6,516.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.