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Finding the Third Proportional to 203,947 and 437,419

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Solution

The third proportional to 203,947 and 437,419 is: 938,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,947 : 437,419 = 437,419 : x
  2. Step 2: Convert to fraction form
    203,947/437,419 = 437,419/x
  3. Step 3: Cross multiply
    203,947x = 437,419 × 437,419
  4. Step 4: Simplify right side
    203,947x = 191,335,381,561
  5. Step 5: Solve for x
    x = 191,335,381,561/203,947
  6. Step 6: Final answer
    x = 938,162.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.