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Finding the Third Proportional to 259,268 and 559,000

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Solution

The third proportional to 259,268 and 559,000 is: 1,205,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,268 : 559,000 = 559,000 : x
  2. Step 2: Convert to fraction form
    259,268/559,000 = 559,000/x
  3. Step 3: Cross multiply
    259,268x = 559,000 × 559,000
  4. Step 4: Simplify right side
    259,268x = 312,481,000,000
  5. Step 5: Solve for x
    x = 312,481,000,000/259,268
  6. Step 6: Final answer
    x = 1,205,243.22

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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.