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Finding the Third Proportional to 209,136 and 445,244

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Solution

The third proportional to 209,136 and 445,244 is: 947,910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,136 : 445,244 = 445,244 : x
  2. Step 2: Convert to fraction form
    209,136/445,244 = 445,244/x
  3. Step 3: Cross multiply
    209,136x = 445,244 × 445,244
  4. Step 4: Simplify right side
    209,136x = 198,242,219,536
  5. Step 5: Solve for x
    x = 198,242,219,536/209,136
  6. Step 6: Final answer
    x = 947,910.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.