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Finding the Third Proportional to 361,313.44 and 778,122

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Solution

The third proportional to 361,313.44 and 778,122 is: 1,675,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,313.44 : 778,122 = 778,122 : x
  2. Step 2: Convert to fraction form
    361,313.44/778,122 = 778,122/x
  3. Step 3: Cross multiply
    361,313.44x = 778,122 × 778,122
  4. Step 4: Simplify right side
    361,313.44x = 605,473,846,884
  5. Step 5: Solve for x
    x = 605,473,846,884/361,313.44
  6. Step 6: Final answer
    x = 1,675,757.90

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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.