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Finding the Third Proportional to 303,518 and 437,197

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Solution

The third proportional to 303,518 and 437,197 is: 629,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,518 : 437,197 = 437,197 : x
  2. Step 2: Convert to fraction form
    303,518/437,197 = 437,197/x
  3. Step 3: Cross multiply
    303,518x = 437,197 × 437,197
  4. Step 4: Simplify right side
    303,518x = 191,141,216,809
  5. Step 5: Solve for x
    x = 191,141,216,809/303,518
  6. Step 6: Final answer
    x = 629,752.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.