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Finding the Third Proportional to 203,568 and 437,280

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Solution

The third proportional to 203,568 and 437,280 is: 939,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,568 : 437,280 = 437,280 : x
  2. Step 2: Convert to fraction form
    203,568/437,280 = 437,280/x
  3. Step 3: Cross multiply
    203,568x = 437,280 × 437,280
  4. Step 4: Simplify right side
    203,568x = 191,213,798,400
  5. Step 5: Solve for x
    x = 191,213,798,400/203,568
  6. Step 6: Final answer
    x = 939,311.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.