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Finding the Third Proportional to 197,213 and 281,991

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Solution

The third proportional to 197,213 and 281,991 is: 403,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,213 : 281,991 = 281,991 : x
  2. Step 2: Convert to fraction form
    197,213/281,991 = 281,991/x
  3. Step 3: Cross multiply
    197,213x = 281,991 × 281,991
  4. Step 4: Simplify right side
    197,213x = 79,518,924,081
  5. Step 5: Solve for x
    x = 79,518,924,081/197,213
  6. Step 6: Final answer
    x = 403,213.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.