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Finding the Third Proportional to 381,977.50 and 809,489

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Solution

The third proportional to 381,977.50 and 809,489 is: 1,715,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,977.50 : 809,489 = 809,489 : x
  2. Step 2: Convert to fraction form
    381,977.50/809,489 = 809,489/x
  3. Step 3: Cross multiply
    381,977.50x = 809,489 × 809,489
  4. Step 4: Simplify right side
    381,977.50x = 655,272,441,121
  5. Step 5: Solve for x
    x = 655,272,441,121/381,977.50
  6. Step 6: Final answer
    x = 1,715,473.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.