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Finding the Third Proportional to 288,147 and 436,198.50

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Solution

The third proportional to 288,147 and 436,198.50 is: 660,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,147 : 436,198.50 = 436,198.50 : x
  2. Step 2: Convert to fraction form
    288,147/436,198.50 = 436,198.50/x
  3. Step 3: Cross multiply
    288,147x = 436,198.50 × 436,198.50
  4. Step 4: Simplify right side
    288,147x = 190,269,131,402.25
  5. Step 5: Solve for x
    x = 190,269,131,402.25/288,147
  6. Step 6: Final answer
    x = 660,319.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.