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Finding the Third Proportional to 257,762 and 394,347

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Solution

The third proportional to 257,762 and 394,347 is: 603,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,762 : 394,347 = 394,347 : x
  2. Step 2: Convert to fraction form
    257,762/394,347 = 394,347/x
  3. Step 3: Cross multiply
    257,762x = 394,347 × 394,347
  4. Step 4: Simplify right side
    257,762x = 155,509,556,409
  5. Step 5: Solve for x
    x = 155,509,556,409/257,762
  6. Step 6: Final answer
    x = 603,306.76

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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.