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Finding the Third Proportional to 120,736 and 262,228

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Solution

The third proportional to 120,736 and 262,228 is: 569,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,736 : 262,228 = 262,228 : x
  2. Step 2: Convert to fraction form
    120,736/262,228 = 262,228/x
  3. Step 3: Cross multiply
    120,736x = 262,228 × 262,228
  4. Step 4: Simplify right side
    120,736x = 68,763,523,984
  5. Step 5: Solve for x
    x = 68,763,523,984/120,736
  6. Step 6: Final answer
    x = 569,536.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.