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Finding the Third Proportional to 209,192 and 454,648

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Solution

The third proportional to 209,192 and 454,648 is: 988,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,192 : 454,648 = 454,648 : x
  2. Step 2: Convert to fraction form
    209,192/454,648 = 454,648/x
  3. Step 3: Cross multiply
    209,192x = 454,648 × 454,648
  4. Step 4: Simplify right side
    209,192x = 206,704,803,904
  5. Step 5: Solve for x
    x = 206,704,803,904/209,192
  6. Step 6: Final answer
    x = 988,110.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.