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Finding the Third Proportional to 13,213.13 and 31,169.81

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Solution

The third proportional to 13,213.13 and 31,169.81 is: 73,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.13 : 31,169.81 = 31,169.81 : x
  2. Step 2: Convert to fraction form
    13,213.13/31,169.81 = 31,169.81/x
  3. Step 3: Cross multiply
    13,213.13x = 31,169.81 × 31,169.81
  4. Step 4: Simplify right side
    13,213.13x = 971,557,211.29
  5. Step 5: Solve for x
    x = 971,557,211.29/13,213.13
  6. Step 6: Final answer
    x = 73,529.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.