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Finding the Third Proportional to 20,936,678 and 31,509,849

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Solution

The third proportional to 20,936,678 and 31,509,849 is: 47,422,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,936,678 : 31,509,849 = 31,509,849 : x
  2. Step 2: Convert to fraction form
    20,936,678/31,509,849 = 31,509,849/x
  3. Step 3: Cross multiply
    20,936,678x = 31,509,849 × 31,509,849
  4. Step 4: Simplify right side
    20,936,678x = 992,870,584,002,801
  5. Step 5: Solve for x
    x = 992,870,584,002,801/20,936,678
  6. Step 6: Final answer
    x = 47,422,546.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.