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Finding the Third Proportional to 149,512 and 318,400

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Solution

The third proportional to 149,512 and 318,400 is: 678,063.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,512 : 318,400 = 318,400 : x
  2. Step 2: Convert to fraction form
    149,512/318,400 = 318,400/x
  3. Step 3: Cross multiply
    149,512x = 318,400 × 318,400
  4. Step 4: Simplify right side
    149,512x = 101,378,560,000
  5. Step 5: Solve for x
    x = 101,378,560,000/149,512
  6. Step 6: Final answer
    x = 678,063.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.