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Finding the Third Proportional to 11,392,110 and 23,207,256

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Solution

The third proportional to 11,392,110 and 23,207,256 is: 47,276,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392,110 : 23,207,256 = 23,207,256 : x
  2. Step 2: Convert to fraction form
    11,392,110/23,207,256 = 23,207,256/x
  3. Step 3: Cross multiply
    11,392,110x = 23,207,256 × 23,207,256
  4. Step 4: Simplify right side
    11,392,110x = 538,576,731,049,536
  5. Step 5: Solve for x
    x = 538,576,731,049,536/11,392,110
  6. Step 6: Final answer
    x = 47,276,293.07

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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.