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Finding the Third Proportional to 288,950 and 383,509

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Solution

The third proportional to 288,950 and 383,509 is: 509,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,950 : 383,509 = 383,509 : x
  2. Step 2: Convert to fraction form
    288,950/383,509 = 383,509/x
  3. Step 3: Cross multiply
    288,950x = 383,509 × 383,509
  4. Step 4: Simplify right side
    288,950x = 147,079,153,081
  5. Step 5: Solve for x
    x = 147,079,153,081/288,950
  6. Step 6: Final answer
    x = 509,012.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.