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Finding the Third Proportional to 199,773 and 281,019

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Solution

The third proportional to 199,773 and 281,019 is: 395,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,773 : 281,019 = 281,019 : x
  2. Step 2: Convert to fraction form
    199,773/281,019 = 281,019/x
  3. Step 3: Cross multiply
    199,773x = 281,019 × 281,019
  4. Step 4: Simplify right side
    199,773x = 78,971,678,361
  5. Step 5: Solve for x
    x = 78,971,678,361/199,773
  6. Step 6: Final answer
    x = 395,307.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.