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Finding the Third Proportional to 4,550,163.75 and 9,661,290.75

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Solution

The third proportional to 4,550,163.75 and 9,661,290.75 is: 20,513,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550,163.75 : 9,661,290.75 = 9,661,290.75 : x
  2. Step 2: Convert to fraction form
    4,550,163.75/9,661,290.75 = 9,661,290.75/x
  3. Step 3: Cross multiply
    4,550,163.75x = 9,661,290.75 × 9,661,290.75
  4. Step 4: Simplify right side
    4,550,163.75x = 93,340,538,956,035.56
  5. Step 5: Solve for x
    x = 93,340,538,956,035.56/4,550,163.75
  6. Step 6: Final answer
    x = 20,513,665.90

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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.