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Finding the Third Proportional to 282,652 and 383,820

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Solution

The third proportional to 282,652 and 383,820 is: 521,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,652 : 383,820 = 383,820 : x
  2. Step 2: Convert to fraction form
    282,652/383,820 = 383,820/x
  3. Step 3: Cross multiply
    282,652x = 383,820 × 383,820
  4. Step 4: Simplify right side
    282,652x = 147,317,792,400
  5. Step 5: Solve for x
    x = 147,317,792,400/282,652
  6. Step 6: Final answer
    x = 521,198.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.