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Finding the Third Proportional to 135,814 and 298,700

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Solution

The third proportional to 135,814 and 298,700 is: 656,940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,814 : 298,700 = 298,700 : x
  2. Step 2: Convert to fraction form
    135,814/298,700 = 298,700/x
  3. Step 3: Cross multiply
    135,814x = 298,700 × 298,700
  4. Step 4: Simplify right side
    135,814x = 89,221,690,000
  5. Step 5: Solve for x
    x = 89,221,690,000/135,814
  6. Step 6: Final answer
    x = 656,940.30

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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.