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Finding the Third Proportional to 48,888,220.78 and 73,338,163.17

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Solution

The third proportional to 48,888,220.78 and 73,338,163.17 is: 110,015,993.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,888,220.78 : 73,338,163.17 = 73,338,163.17 : x
  2. Step 2: Convert to fraction form
    48,888,220.78/73,338,163.17 = 73,338,163.17/x
  3. Step 3: Cross multiply
    48,888,220.78x = 73,338,163.17 × 73,338,163.17
  4. Step 4: Simplify right side
    48,888,220.78x = 5,378,486,177,424,563
  5. Step 5: Solve for x
    x = 5,378,486,177,424,563/48,888,220.78
  6. Step 6: Final answer
    x = 110,015,993.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.