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Finding the Third Proportional to 6,448.50 and 10,149.75

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Solution

The third proportional to 6,448.50 and 10,149.75 is: 15,975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.50 : 10,149.75 = 10,149.75 : x
  2. Step 2: Convert to fraction form
    6,448.50/10,149.75 = 10,149.75/x
  3. Step 3: Cross multiply
    6,448.50x = 10,149.75 × 10,149.75
  4. Step 4: Simplify right side
    6,448.50x = 103,017,425.06
  5. Step 5: Solve for x
    x = 103,017,425.06/6,448.50
  6. Step 6: Final answer
    x = 15,975.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.