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Finding the Third Proportional to 294,873.75 and 644,943.25

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Solution

The third proportional to 294,873.75 and 644,943.25 is: 1,410,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,873.75 : 644,943.25 = 644,943.25 : x
  2. Step 2: Convert to fraction form
    294,873.75/644,943.25 = 644,943.25/x
  3. Step 3: Cross multiply
    294,873.75x = 644,943.25 × 644,943.25
  4. Step 4: Simplify right side
    294,873.75x = 415,951,795,720.56
  5. Step 5: Solve for x
    x = 415,951,795,720.56/294,873.75
  6. Step 6: Final answer
    x = 1,410,609.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.