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Finding the Third Proportional to 294,872.06 and 644,940.56

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Solution

The third proportional to 294,872.06 and 644,940.56 is: 1,410,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,872.06 : 644,940.56 = 644,940.56 : x
  2. Step 2: Convert to fraction form
    294,872.06/644,940.56 = 644,940.56/x
  3. Step 3: Cross multiply
    294,872.06x = 644,940.56 × 644,940.56
  4. Step 4: Simplify right side
    294,872.06x = 415,948,329,157.82
  5. Step 5: Solve for x
    x = 415,948,329,157.82/294,872.06
  6. Step 6: Final answer
    x = 1,410,606.10

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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.