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Finding the Third Proportional to 10,759.50 and 23,145.75

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Solution

The third proportional to 10,759.50 and 23,145.75 is: 49,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.50 : 23,145.75 = 23,145.75 : x
  2. Step 2: Convert to fraction form
    10,759.50/23,145.75 = 23,145.75/x
  3. Step 3: Cross multiply
    10,759.50x = 23,145.75 × 23,145.75
  4. Step 4: Simplify right side
    10,759.50x = 535,725,743.06
  5. Step 5: Solve for x
    x = 535,725,743.06/10,759.50
  6. Step 6: Final answer
    x = 49,790.95

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