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Finding the Third Proportional to 13,430.81 and 20,611.97

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Solution

The third proportional to 13,430.81 and 20,611.97 is: 31,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.81 : 20,611.97 = 20,611.97 : x
  2. Step 2: Convert to fraction form
    13,430.81/20,611.97 = 20,611.97/x
  3. Step 3: Cross multiply
    13,430.81x = 20,611.97 × 20,611.97
  4. Step 4: Simplify right side
    13,430.81x = 424,853,255.75
  5. Step 5: Solve for x
    x = 424,853,255.75/13,430.81
  6. Step 6: Final answer
    x = 31,632.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.