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Finding the Third Proportional to 197,245 and 431,318

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Solution

The third proportional to 197,245 and 431,318 is: 943,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,245 : 431,318 = 431,318 : x
  2. Step 2: Convert to fraction form
    197,245/431,318 = 431,318/x
  3. Step 3: Cross multiply
    197,245x = 431,318 × 431,318
  4. Step 4: Simplify right side
    197,245x = 186,035,217,124
  5. Step 5: Solve for x
    x = 186,035,217,124/197,245
  6. Step 6: Final answer
    x = 943,168.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.