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Finding the Third Proportional to 203,145 and 437,509.50

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Solution

The third proportional to 203,145 and 437,509.50 is: 942,255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,145 : 437,509.50 = 437,509.50 : x
  2. Step 2: Convert to fraction form
    203,145/437,509.50 = 437,509.50/x
  3. Step 3: Cross multiply
    203,145x = 437,509.50 × 437,509.50
  4. Step 4: Simplify right side
    203,145x = 191,414,562,590.25
  5. Step 5: Solve for x
    x = 191,414,562,590.25/203,145
  6. Step 6: Final answer
    x = 942,255.84

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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.