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Finding the Third Proportional to 257,912 and 394,500

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Solution

The third proportional to 257,912 and 394,500 is: 603,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,912 : 394,500 = 394,500 : x
  2. Step 2: Convert to fraction form
    257,912/394,500 = 394,500/x
  3. Step 3: Cross multiply
    257,912x = 394,500 × 394,500
  4. Step 4: Simplify right side
    257,912x = 155,630,250,000
  5. Step 5: Solve for x
    x = 155,630,250,000/257,912
  6. Step 6: Final answer
    x = 603,423.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.