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Finding the Third Proportional to 253,573 and 394,900

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Solution

The third proportional to 253,573 and 394,900 is: 614,994.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,573 : 394,900 = 394,900 : x
  2. Step 2: Convert to fraction form
    253,573/394,900 = 394,900/x
  3. Step 3: Cross multiply
    253,573x = 394,900 × 394,900
  4. Step 4: Simplify right side
    253,573x = 155,946,010,000
  5. Step 5: Solve for x
    x = 155,946,010,000/253,573
  6. Step 6: Final answer
    x = 614,994.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.