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Finding the Third Proportional to 209,978 and 453,652

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Solution

The third proportional to 209,978 and 453,652 is: 980,103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,978 : 453,652 = 453,652 : x
  2. Step 2: Convert to fraction form
    209,978/453,652 = 453,652/x
  3. Step 3: Cross multiply
    209,978x = 453,652 × 453,652
  4. Step 4: Simplify right side
    209,978x = 205,800,137,104
  5. Step 5: Solve for x
    x = 205,800,137,104/209,978
  6. Step 6: Final answer
    x = 980,103.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.