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Finding the Third Proportional to 259,179 and 405,698

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Solution

The third proportional to 259,179 and 405,698 is: 635,047.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,179 : 405,698 = 405,698 : x
  2. Step 2: Convert to fraction form
    259,179/405,698 = 405,698/x
  3. Step 3: Cross multiply
    259,179x = 405,698 × 405,698
  4. Step 4: Simplify right side
    259,179x = 164,590,867,204
  5. Step 5: Solve for x
    x = 164,590,867,204/259,179
  6. Step 6: Final answer
    x = 635,047.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.