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Finding the Third Proportional to 208,311.75 and 321,625.69

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Solution

The third proportional to 208,311.75 and 321,625.69 is: 496,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,311.75 : 321,625.69 = 321,625.69 : x
  2. Step 2: Convert to fraction form
    208,311.75/321,625.69 = 321,625.69/x
  3. Step 3: Cross multiply
    208,311.75x = 321,625.69 × 321,625.69
  4. Step 4: Simplify right side
    208,311.75x = 103,443,082,859.85
  5. Step 5: Solve for x
    x = 103,443,082,859.85/208,311.75
  6. Step 6: Final answer
    x = 496,578.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.