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Finding the Third Proportional to 5,380,285 and 11,639,745

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Solution

The third proportional to 5,380,285 and 11,639,745 is: 25,181,503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380,285 : 11,639,745 = 11,639,745 : x
  2. Step 2: Convert to fraction form
    5,380,285/11,639,745 = 11,639,745/x
  3. Step 3: Cross multiply
    5,380,285x = 11,639,745 × 11,639,745
  4. Step 4: Simplify right side
    5,380,285x = 135,483,663,665,025
  5. Step 5: Solve for x
    x = 135,483,663,665,025/5,380,285
  6. Step 6: Final answer
    x = 25,181,503.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.