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Finding the Third Proportional to 298,859.63 and 644,949

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Solution

The third proportional to 298,859.63 and 644,949 is: 1,391,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,859.63 : 644,949 = 644,949 : x
  2. Step 2: Convert to fraction form
    298,859.63/644,949 = 644,949/x
  3. Step 3: Cross multiply
    298,859.63x = 644,949 × 644,949
  4. Step 4: Simplify right side
    298,859.63x = 415,959,212,601
  5. Step 5: Solve for x
    x = 415,959,212,601/298,859.63
  6. Step 6: Final answer
    x = 1,391,821.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.