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Finding the Third Proportional to 3,476,980.27 and 7,052,221.41

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Solution

The third proportional to 3,476,980.27 and 7,052,221.41 is: 14,303,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476,980.27 : 7,052,221.41 = 7,052,221.41 : x
  2. Step 2: Convert to fraction form
    3,476,980.27/7,052,221.41 = 7,052,221.41/x
  3. Step 3: Cross multiply
    3,476,980.27x = 7,052,221.41 × 7,052,221.41
  4. Step 4: Simplify right side
    3,476,980.27x = 49,733,826,762,770.73
  5. Step 5: Solve for x
    x = 49,733,826,762,770.73/3,476,980.27
  6. Step 6: Final answer
    x = 14,303,741.45

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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.