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Finding the Third Proportional to 9,565.50 and 20,288.81

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Solution

The third proportional to 9,565.50 and 20,288.81 is: 43,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.50 : 20,288.81 = 20,288.81 : x
  2. Step 2: Convert to fraction form
    9,565.50/20,288.81 = 20,288.81/x
  3. Step 3: Cross multiply
    9,565.50x = 20,288.81 × 20,288.81
  4. Step 4: Simplify right side
    9,565.50x = 411,635,912.66
  5. Step 5: Solve for x
    x = 411,635,912.66/9,565.50
  6. Step 6: Final answer
    x = 43,033.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.