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Finding the Third Proportional to 259,806.75 and 558,290.25

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Solution

The third proportional to 259,806.75 and 558,290.25 is: 1,199,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,806.75 : 558,290.25 = 558,290.25 : x
  2. Step 2: Convert to fraction form
    259,806.75/558,290.25 = 558,290.25/x
  3. Step 3: Cross multiply
    259,806.75x = 558,290.25 × 558,290.25
  4. Step 4: Simplify right side
    259,806.75x = 311,688,003,245.06
  5. Step 5: Solve for x
    x = 311,688,003,245.06/259,806.75
  6. Step 6: Final answer
    x = 1,199,691.71

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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.