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Finding the Third Proportional to 135,999 and 298,260

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Solution

The third proportional to 135,999 and 298,260 is: 654,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,999 : 298,260 = 298,260 : x
  2. Step 2: Convert to fraction form
    135,999/298,260 = 298,260/x
  3. Step 3: Cross multiply
    135,999x = 298,260 × 298,260
  4. Step 4: Simplify right side
    135,999x = 88,959,027,600
  5. Step 5: Solve for x
    x = 88,959,027,600/135,999
  6. Step 6: Final answer
    x = 654,115.31

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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.