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Finding the Third Proportional to 221,256 and 520,086

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Solution

The third proportional to 221,256 and 520,086 is: 1,222,518.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,256 : 520,086 = 520,086 : x
  2. Step 2: Convert to fraction form
    221,256/520,086 = 520,086/x
  3. Step 3: Cross multiply
    221,256x = 520,086 × 520,086
  4. Step 4: Simplify right side
    221,256x = 270,489,447,396
  5. Step 5: Solve for x
    x = 270,489,447,396/221,256
  6. Step 6: Final answer
    x = 1,222,518.02

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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.