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Finding the Third Proportional to 312,290.44 and 671,940.56

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Solution

The third proportional to 312,290.44 and 671,940.56 is: 1,445,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,290.44 : 671,940.56 = 671,940.56 : x
  2. Step 2: Convert to fraction form
    312,290.44/671,940.56 = 671,940.56/x
  3. Step 3: Cross multiply
    312,290.44x = 671,940.56 × 671,940.56
  4. Step 4: Simplify right side
    312,290.44x = 451,504,119,532.82
  5. Step 5: Solve for x
    x = 451,504,119,532.82/312,290.44
  6. Step 6: Final answer
    x = 1,445,782.72

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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.