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Finding the Third Proportional to 135,768 and 298,302

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Solution

The third proportional to 135,768 and 298,302 is: 655,412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,768 : 298,302 = 298,302 : x
  2. Step 2: Convert to fraction form
    135,768/298,302 = 298,302/x
  3. Step 3: Cross multiply
    135,768x = 298,302 × 298,302
  4. Step 4: Simplify right side
    135,768x = 88,984,083,204
  5. Step 5: Solve for x
    x = 88,984,083,204/135,768
  6. Step 6: Final answer
    x = 655,412.79

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