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Finding the Third Proportional to 120,963 and 242,412

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Solution

The third proportional to 120,963 and 242,412 is: 485,797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,963 : 242,412 = 242,412 : x
  2. Step 2: Convert to fraction form
    120,963/242,412 = 242,412/x
  3. Step 3: Cross multiply
    120,963x = 242,412 × 242,412
  4. Step 4: Simplify right side
    120,963x = 58,763,577,744
  5. Step 5: Solve for x
    x = 58,763,577,744/120,963
  6. Step 6: Final answer
    x = 485,797.95

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.