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Finding the Third Proportional to 288,954 and 383,515

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Solution

The third proportional to 288,954 and 383,515 is: 509,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,954 : 383,515 = 383,515 : x
  2. Step 2: Convert to fraction form
    288,954/383,515 = 383,515/x
  3. Step 3: Cross multiply
    288,954x = 383,515 × 383,515
  4. Step 4: Simplify right side
    288,954x = 147,083,755,225
  5. Step 5: Solve for x
    x = 147,083,755,225/288,954
  6. Step 6: Final answer
    x = 509,021.35

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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.