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Finding the Third Proportional to 67,378,222 and 137,942,629

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Solution

The third proportional to 67,378,222 and 137,942,629 is: 282,408,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,378,222 : 137,942,629 = 137,942,629 : x
  2. Step 2: Convert to fraction form
    67,378,222/137,942,629 = 137,942,629/x
  3. Step 3: Cross multiply
    67,378,222x = 137,942,629 × 137,942,629
  4. Step 4: Simplify right side
    67,378,222x = 19,028,168,895,431,640
  5. Step 5: Solve for x
    x = 19,028,168,895,431,640/67,378,222
  6. Step 6: Final answer
    x = 282,408,296.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.