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Finding the Third Proportional to 197,971 and 318,745

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Solution

The third proportional to 197,971 and 318,745 is: 513,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,971 : 318,745 = 318,745 : x
  2. Step 2: Convert to fraction form
    197,971/318,745 = 318,745/x
  3. Step 3: Cross multiply
    197,971x = 318,745 × 318,745
  4. Step 4: Simplify right side
    197,971x = 101,598,375,025
  5. Step 5: Solve for x
    x = 101,598,375,025/197,971
  6. Step 6: Final answer
    x = 513,198.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.