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Finding the Third Proportional to 13,969,138 and 20,867,676

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Solution

The third proportional to 13,969,138 and 20,867,676 is: 31,172,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969,138 : 20,867,676 = 20,867,676 : x
  2. Step 2: Convert to fraction form
    13,969,138/20,867,676 = 20,867,676/x
  3. Step 3: Cross multiply
    13,969,138x = 20,867,676 × 20,867,676
  4. Step 4: Simplify right side
    13,969,138x = 435,459,901,640,976
  5. Step 5: Solve for x
    x = 435,459,901,640,976/13,969,138
  6. Step 6: Final answer
    x = 31,172,997.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.