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Finding the Third Proportional to 3,476,986 and 7,052,233

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Solution

The third proportional to 3,476,986 and 7,052,233 is: 14,303,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476,986 : 7,052,233 = 7,052,233 : x
  2. Step 2: Convert to fraction form
    3,476,986/7,052,233 = 7,052,233/x
  3. Step 3: Cross multiply
    3,476,986x = 7,052,233 × 7,052,233
  4. Step 4: Simplify right side
    3,476,986x = 49,733,990,286,289
  5. Step 5: Solve for x
    x = 49,733,990,286,289/3,476,986
  6. Step 6: Final answer
    x = 14,303,764.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.