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Finding the Third Proportional to 203,143.50 and 437,505.50

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Solution

The third proportional to 203,143.50 and 437,505.50 is: 942,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,143.50 : 437,505.50 = 437,505.50 : x
  2. Step 2: Convert to fraction form
    203,143.50/437,505.50 = 437,505.50/x
  3. Step 3: Cross multiply
    203,143.50x = 437,505.50 × 437,505.50
  4. Step 4: Simplify right side
    203,143.50x = 191,411,062,530.25
  5. Step 5: Solve for x
    x = 191,411,062,530.25/203,143.50
  6. Step 6: Final answer
    x = 942,245.57

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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.