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Finding the Third Proportional to 101,085,868 and 144,454,333

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Solution

The third proportional to 101,085,868 and 144,454,333 is: 206,428,996.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,085,868 : 144,454,333 = 144,454,333 : x
  2. Step 2: Convert to fraction form
    101,085,868/144,454,333 = 144,454,333/x
  3. Step 3: Cross multiply
    101,085,868x = 144,454,333 × 144,454,333
  4. Step 4: Simplify right side
    101,085,868x = 20,867,054,322,474,888
  5. Step 5: Solve for x
    x = 20,867,054,322,474,888/101,085,868
  6. Step 6: Final answer
    x = 206,428,996.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.