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Finding the Third Proportional to 289,736 and 448,247

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Solution

The third proportional to 289,736 and 448,247 is: 693,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,736 : 448,247 = 448,247 : x
  2. Step 2: Convert to fraction form
    289,736/448,247 = 448,247/x
  3. Step 3: Cross multiply
    289,736x = 448,247 × 448,247
  4. Step 4: Simplify right side
    289,736x = 200,925,373,009
  5. Step 5: Solve for x
    x = 200,925,373,009/289,736
  6. Step 6: Final answer
    x = 693,477.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.