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Finding the Third Proportional to 118,290 and 259,481.25

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Solution

The third proportional to 118,290 and 259,481.25 is: 569,198.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,290 : 259,481.25 = 259,481.25 : x
  2. Step 2: Convert to fraction form
    118,290/259,481.25 = 259,481.25/x
  3. Step 3: Cross multiply
    118,290x = 259,481.25 × 259,481.25
  4. Step 4: Simplify right side
    118,290x = 67,330,519,101.56
  5. Step 5: Solve for x
    x = 67,330,519,101.56/118,290
  6. Step 6: Final answer
    x = 569,198.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.