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Finding the Third Proportional to 33,768,218.25 and 68,728,810.50

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Solution

The third proportional to 33,768,218.25 and 68,728,810.50 is: 139,884,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,768,218.25 : 68,728,810.50 = 68,728,810.50 : x
  2. Step 2: Convert to fraction form
    33,768,218.25/68,728,810.50 = 68,728,810.50/x
  3. Step 3: Cross multiply
    33,768,218.25x = 68,728,810.50 × 68,728,810.50
  4. Step 4: Simplify right side
    33,768,218.25x = 4,723,649,392,744,910
  5. Step 5: Solve for x
    x = 4,723,649,392,744,910/33,768,218.25
  6. Step 6: Final answer
    x = 139,884,472.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.