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Finding the Third Proportional to 213,969 and 451,807

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Solution

The third proportional to 213,969 and 451,807 is: 954,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,969 : 451,807 = 451,807 : x
  2. Step 2: Convert to fraction form
    213,969/451,807 = 451,807/x
  3. Step 3: Cross multiply
    213,969x = 451,807 × 451,807
  4. Step 4: Simplify right side
    213,969x = 204,129,565,249
  5. Step 5: Solve for x
    x = 204,129,565,249/213,969
  6. Step 6: Final answer
    x = 954,014.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.