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Finding the Third Proportional to 209,100 and 445,174

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Solution

The third proportional to 209,100 and 445,174 is: 947,775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,100 : 445,174 = 445,174 : x
  2. Step 2: Convert to fraction form
    209,100/445,174 = 445,174/x
  3. Step 3: Cross multiply
    209,100x = 445,174 × 445,174
  4. Step 4: Simplify right side
    209,100x = 198,179,890,276
  5. Step 5: Solve for x
    x = 198,179,890,276/209,100
  6. Step 6: Final answer
    x = 947,775.66

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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.