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Finding the Third Proportional to 259,608 and 559,392

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Solution

The third proportional to 259,608 and 559,392 is: 1,205,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,608 : 559,392 = 559,392 : x
  2. Step 2: Convert to fraction form
    259,608/559,392 = 559,392/x
  3. Step 3: Cross multiply
    259,608x = 559,392 × 559,392
  4. Step 4: Simplify right side
    259,608x = 312,919,409,664
  5. Step 5: Solve for x
    x = 312,919,409,664/259,608
  6. Step 6: Final answer
    x = 1,205,353.49

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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.