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Finding the Third Proportional to 259,789.78 and 413,694.84

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Solution

The third proportional to 259,789.78 and 413,694.84 is: 658,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,789.78 : 413,694.84 = 413,694.84 : x
  2. Step 2: Convert to fraction form
    259,789.78/413,694.84 = 413,694.84/x
  3. Step 3: Cross multiply
    259,789.78x = 413,694.84 × 413,694.84
  4. Step 4: Simplify right side
    259,789.78x = 171,143,423,745.34
  5. Step 5: Solve for x
    x = 171,143,423,745.34/259,789.78
  6. Step 6: Final answer
    x = 658,776.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.