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Finding the Third Proportional to 203,440.50 and 301,011.75

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Solution

The third proportional to 203,440.50 and 301,011.75 is: 445,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,440.50 : 301,011.75 = 301,011.75 : x
  2. Step 2: Convert to fraction form
    203,440.50/301,011.75 = 301,011.75/x
  3. Step 3: Cross multiply
    203,440.50x = 301,011.75 × 301,011.75
  4. Step 4: Simplify right side
    203,440.50x = 90,608,073,638.06
  5. Step 5: Solve for x
    x = 90,608,073,638.06/203,440.50
  6. Step 6: Final answer
    x = 445,378.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.