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Finding the Third Proportional to 209,115 and 445,203

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Solution

The third proportional to 209,115 and 445,203 is: 947,831.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,115 : 445,203 = 445,203 : x
  2. Step 2: Convert to fraction form
    209,115/445,203 = 445,203/x
  3. Step 3: Cross multiply
    209,115x = 445,203 × 445,203
  4. Step 4: Simplify right side
    209,115x = 198,205,711,209
  5. Step 5: Solve for x
    x = 198,205,711,209/209,115
  6. Step 6: Final answer
    x = 947,831.15

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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.