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Finding the Third Proportional to 253,575 and 394,903

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Solution

The third proportional to 253,575 and 394,903 is: 614,999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,575 : 394,903 = 394,903 : x
  2. Step 2: Convert to fraction form
    253,575/394,903 = 394,903/x
  3. Step 3: Cross multiply
    253,575x = 394,903 × 394,903
  4. Step 4: Simplify right side
    253,575x = 155,948,379,409
  5. Step 5: Solve for x
    x = 155,948,379,409/253,575
  6. Step 6: Final answer
    x = 614,999.03

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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.