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Finding the Third Proportional to 259,868 and 559,912

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Solution

The third proportional to 259,868 and 559,912 is: 1,206,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,868 : 559,912 = 559,912 : x
  2. Step 2: Convert to fraction form
    259,868/559,912 = 559,912/x
  3. Step 3: Cross multiply
    259,868x = 559,912 × 559,912
  4. Step 4: Simplify right side
    259,868x = 313,501,447,744
  5. Step 5: Solve for x
    x = 313,501,447,744/259,868
  6. Step 6: Final answer
    x = 1,206,387.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.