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Finding the Third Proportional to 197,941 and 402,899

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Solution

The third proportional to 197,941 and 402,899 is: 820,080.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,941 : 402,899 = 402,899 : x
  2. Step 2: Convert to fraction form
    197,941/402,899 = 402,899/x
  3. Step 3: Cross multiply
    197,941x = 402,899 × 402,899
  4. Step 4: Simplify right side
    197,941x = 162,327,604,201
  5. Step 5: Solve for x
    x = 162,327,604,201/197,941
  6. Step 6: Final answer
    x = 820,080.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.