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Finding the Third Proportional to 259,456 and 569,990

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Solution

The third proportional to 259,456 and 569,990 is: 1,252,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,456 : 569,990 = 569,990 : x
  2. Step 2: Convert to fraction form
    259,456/569,990 = 569,990/x
  3. Step 3: Cross multiply
    259,456x = 569,990 × 569,990
  4. Step 4: Simplify right side
    259,456x = 324,888,600,100
  5. Step 5: Solve for x
    x = 324,888,600,100/259,456
  6. Step 6: Final answer
    x = 1,252,191.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.