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Finding the Third Proportional to 9,764.61 and 20,999.69

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Solution

The third proportional to 9,764.61 and 20,999.69 is: 45,161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.61 : 20,999.69 = 20,999.69 : x
  2. Step 2: Convert to fraction form
    9,764.61/20,999.69 = 20,999.69/x
  3. Step 3: Cross multiply
    9,764.61x = 20,999.69 × 20,999.69
  4. Step 4: Simplify right side
    9,764.61x = 440,986,772.56
  5. Step 5: Solve for x
    x = 440,986,772.56/9,764.61
  6. Step 6: Final answer
    x = 45,161.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.