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Finding the Third Proportional to 7,719,138 and 11,320,884

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Solution

The third proportional to 7,719,138 and 11,320,884 is: 16,603,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719,138 : 11,320,884 = 11,320,884 : x
  2. Step 2: Convert to fraction form
    7,719,138/11,320,884 = 11,320,884/x
  3. Step 3: Cross multiply
    7,719,138x = 11,320,884 × 11,320,884
  4. Step 4: Simplify right side
    7,719,138x = 128,162,414,541,456
  5. Step 5: Solve for x
    x = 128,162,414,541,456/7,719,138
  6. Step 6: Final answer
    x = 16,603,202.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.