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Finding the Third Proportional to 20,406.94 and 29,701.69

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Solution

The third proportional to 20,406.94 and 29,701.69 is: 43,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406.94 : 29,701.69 = 29,701.69 : x
  2. Step 2: Convert to fraction form
    20,406.94/29,701.69 = 29,701.69/x
  3. Step 3: Cross multiply
    20,406.94x = 29,701.69 × 29,701.69
  4. Step 4: Simplify right side
    20,406.94x = 882,190,240.35
  5. Step 5: Solve for x
    x = 882,190,240.35/20,406.94
  6. Step 6: Final answer
    x = 43,229.92

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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.