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Finding the Third Proportional to 221,242 and 520,052

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Solution

The third proportional to 221,242 and 520,052 is: 1,222,435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,242 : 520,052 = 520,052 : x
  2. Step 2: Convert to fraction form
    221,242/520,052 = 520,052/x
  3. Step 3: Cross multiply
    221,242x = 520,052 × 520,052
  4. Step 4: Simplify right side
    221,242x = 270,454,082,704
  5. Step 5: Solve for x
    x = 270,454,082,704/221,242
  6. Step 6: Final answer
    x = 1,222,435.54

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.