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Finding the Third Proportional to 200,086 and 305,211

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Solution

The third proportional to 200,086 and 305,211 is: 465,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,086 : 305,211 = 305,211 : x
  2. Step 2: Convert to fraction form
    200,086/305,211 = 305,211/x
  3. Step 3: Cross multiply
    200,086x = 305,211 × 305,211
  4. Step 4: Simplify right side
    200,086x = 93,153,754,521
  5. Step 5: Solve for x
    x = 93,153,754,521/200,086
  6. Step 6: Final answer
    x = 465,568.58

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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.