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Finding the Third Proportional to 383,270.50 and 806,267

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Solution

The third proportional to 383,270.50 and 806,267 is: 1,696,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,270.50 : 806,267 = 806,267 : x
  2. Step 2: Convert to fraction form
    383,270.50/806,267 = 806,267/x
  3. Step 3: Cross multiply
    383,270.50x = 806,267 × 806,267
  4. Step 4: Simplify right side
    383,270.50x = 650,066,475,289
  5. Step 5: Solve for x
    x = 650,066,475,289/383,270.50
  6. Step 6: Final answer
    x = 1,696,103.60

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.