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Finding the Third Proportional to 135,708 and 298,968

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Solution

The third proportional to 135,708 and 298,968 is: 658,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,708 : 298,968 = 298,968 : x
  2. Step 2: Convert to fraction form
    135,708/298,968 = 298,968/x
  3. Step 3: Cross multiply
    135,708x = 298,968 × 298,968
  4. Step 4: Simplify right side
    135,708x = 89,381,865,024
  5. Step 5: Solve for x
    x = 89,381,865,024/135,708
  6. Step 6: Final answer
    x = 658,633.72

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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.