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Finding the Third Proportional to 303,490 and 437,190

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Solution

The third proportional to 303,490 and 437,190 is: 629,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,490 : 437,190 = 437,190 : x
  2. Step 2: Convert to fraction form
    303,490/437,190 = 437,190/x
  3. Step 3: Cross multiply
    303,490x = 437,190 × 437,190
  4. Step 4: Simplify right side
    303,490x = 191,135,096,100
  5. Step 5: Solve for x
    x = 191,135,096,100/303,490
  6. Step 6: Final answer
    x = 629,790.43

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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.