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Finding the Third Proportional to 10,427,450 and 21,808,286

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Solution

The third proportional to 10,427,450 and 21,808,286 is: 45,610,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427,450 : 21,808,286 = 21,808,286 : x
  2. Step 2: Convert to fraction form
    10,427,450/21,808,286 = 21,808,286/x
  3. Step 3: Cross multiply
    10,427,450x = 21,808,286 × 21,808,286
  4. Step 4: Simplify right side
    10,427,450x = 475,601,338,257,796
  5. Step 5: Solve for x
    x = 475,601,338,257,796/10,427,450
  6. Step 6: Final answer
    x = 45,610,512.47

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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.