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Finding the Third Proportional to 303,319 and 660,147

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Solution

The third proportional to 303,319 and 660,147 is: 1,436,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,319 : 660,147 = 660,147 : x
  2. Step 2: Convert to fraction form
    303,319/660,147 = 660,147/x
  3. Step 3: Cross multiply
    303,319x = 660,147 × 660,147
  4. Step 4: Simplify right side
    303,319x = 435,794,061,609
  5. Step 5: Solve for x
    x = 435,794,061,609/303,319
  6. Step 6: Final answer
    x = 1,436,751.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.