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Finding the Third Proportional to 203,980.50 and 437,463

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Solution

The third proportional to 203,980.50 and 437,463 is: 938,196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,980.50 : 437,463 = 437,463 : x
  2. Step 2: Convert to fraction form
    203,980.50/437,463 = 437,463/x
  3. Step 3: Cross multiply
    203,980.50x = 437,463 × 437,463
  4. Step 4: Simplify right side
    203,980.50x = 191,373,876,369
  5. Step 5: Solve for x
    x = 191,373,876,369/203,980.50
  6. Step 6: Final answer
    x = 938,196.92

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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.