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Finding the Third Proportional to 120,530 and 262,201

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Solution

The third proportional to 120,530 and 262,201 is: 570,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,530 : 262,201 = 262,201 : x
  2. Step 2: Convert to fraction form
    120,530/262,201 = 262,201/x
  3. Step 3: Cross multiply
    120,530x = 262,201 × 262,201
  4. Step 4: Simplify right side
    120,530x = 68,749,364,401
  5. Step 5: Solve for x
    x = 68,749,364,401/120,530
  6. Step 6: Final answer
    x = 570,392.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.