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Finding the Third Proportional to 297,015.75 and 638,811.56

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Solution

The third proportional to 297,015.75 and 638,811.56 is: 1,373,934.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,015.75 : 638,811.56 = 638,811.56 : x
  2. Step 2: Convert to fraction form
    297,015.75/638,811.56 = 638,811.56/x
  3. Step 3: Cross multiply
    297,015.75x = 638,811.56 × 638,811.56
  4. Step 4: Simplify right side
    297,015.75x = 408,080,212,383.69
  5. Step 5: Solve for x
    x = 408,080,212,383.69/297,015.75
  6. Step 6: Final answer
    x = 1,373,934.59

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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.