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Finding the Third Proportional to 200,086 and 305,212

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Solution

The third proportional to 200,086 and 305,212 is: 465,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,086 : 305,212 = 305,212 : x
  2. Step 2: Convert to fraction form
    200,086/305,212 = 305,212/x
  3. Step 3: Cross multiply
    200,086x = 305,212 × 305,212
  4. Step 4: Simplify right side
    200,086x = 93,154,364,944
  5. Step 5: Solve for x
    x = 93,154,364,944/200,086
  6. Step 6: Final answer
    x = 465,571.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.