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Finding the Third Proportional to 209,124 and 445,220

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Solution

The third proportional to 209,124 and 445,220 is: 947,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,124 : 445,220 = 445,220 : x
  2. Step 2: Convert to fraction form
    209,124/445,220 = 445,220/x
  3. Step 3: Cross multiply
    209,124x = 445,220 × 445,220
  4. Step 4: Simplify right side
    209,124x = 198,220,848,400
  5. Step 5: Solve for x
    x = 198,220,848,400/209,124
  6. Step 6: Final answer
    x = 947,862.74

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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.