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Finding the Third Proportional to 301,816 and 639,615

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Solution

The third proportional to 301,816 and 639,615 is: 1,355,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,816 : 639,615 = 639,615 : x
  2. Step 2: Convert to fraction form
    301,816/639,615 = 639,615/x
  3. Step 3: Cross multiply
    301,816x = 639,615 × 639,615
  4. Step 4: Simplify right side
    301,816x = 409,107,348,225
  5. Step 5: Solve for x
    x = 409,107,348,225/301,816
  6. Step 6: Final answer
    x = 1,355,485.95

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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.