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Finding the Third Proportional to 49,542,120 and 103,601,488.50

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Solution

The third proportional to 49,542,120 and 103,601,488.50 is: 216,649,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,542,120 : 103,601,488.50 = 103,601,488.50 : x
  2. Step 2: Convert to fraction form
    49,542,120/103,601,488.50 = 103,601,488.50/x
  3. Step 3: Cross multiply
    49,542,120x = 103,601,488.50 × 103,601,488.50
  4. Step 4: Simplify right side
    49,542,120x = 10,733,268,419,415,632
  5. Step 5: Solve for x
    x = 10,733,268,419,415,632/49,542,120
  6. Step 6: Final answer
    x = 216,649,356.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.