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Finding the Third Proportional to 120,965 and 242,416

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Solution

The third proportional to 120,965 and 242,416 is: 485,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,965 : 242,416 = 242,416 : x
  2. Step 2: Convert to fraction form
    120,965/242,416 = 242,416/x
  3. Step 3: Cross multiply
    120,965x = 242,416 × 242,416
  4. Step 4: Simplify right side
    120,965x = 58,765,517,056
  5. Step 5: Solve for x
    x = 58,765,517,056/120,965
  6. Step 6: Final answer
    x = 485,805.95

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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.