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Finding the Third Proportional to 297,048.94 and 638,879.06

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Solution

The third proportional to 297,048.94 and 638,879.06 is: 1,374,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,048.94 : 638,879.06 = 638,879.06 : x
  2. Step 2: Convert to fraction form
    297,048.94/638,879.06 = 638,879.06/x
  3. Step 3: Cross multiply
    297,048.94x = 638,879.06 × 638,879.06
  4. Step 4: Simplify right side
    297,048.94x = 408,166,456,500.88
  5. Step 5: Solve for x
    x = 408,166,456,500.88/297,048.94
  6. Step 6: Final answer
    x = 1,374,071.42

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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.