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Finding the Third Proportional to 264,400 and 397,191

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Solution

The third proportional to 264,400 and 397,191 is: 596,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,400 : 397,191 = 397,191 : x
  2. Step 2: Convert to fraction form
    264,400/397,191 = 397,191/x
  3. Step 3: Cross multiply
    264,400x = 397,191 × 397,191
  4. Step 4: Simplify right side
    264,400x = 157,760,690,481
  5. Step 5: Solve for x
    x = 157,760,690,481/264,400
  6. Step 6: Final answer
    x = 596,674.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.