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Finding the Third Proportional to 9,639.38 and 21,222.75

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Solution

The third proportional to 9,639.38 and 21,222.75 is: 46,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.38 : 21,222.75 = 21,222.75 : x
  2. Step 2: Convert to fraction form
    9,639.38/21,222.75 = 21,222.75/x
  3. Step 3: Cross multiply
    9,639.38x = 21,222.75 × 21,222.75
  4. Step 4: Simplify right side
    9,639.38x = 450,405,117.56
  5. Step 5: Solve for x
    x = 450,405,117.56/9,639.38
  6. Step 6: Final answer
    x = 46,725.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.