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Finding the Third Proportional to 7,211,880 and 11,231,406

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Solution

The third proportional to 7,211,880 and 11,231,406 is: 17,491,206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211,880 : 11,231,406 = 11,231,406 : x
  2. Step 2: Convert to fraction form
    7,211,880/11,231,406 = 11,231,406/x
  3. Step 3: Cross multiply
    7,211,880x = 11,231,406 × 11,231,406
  4. Step 4: Simplify right side
    7,211,880x = 126,144,480,736,836
  5. Step 5: Solve for x
    x = 126,144,480,736,836/7,211,880
  6. Step 6: Final answer
    x = 17,491,206.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.