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Finding the Third Proportional to 197,969 and 431,674

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Solution

The third proportional to 197,969 and 431,674 is: 941,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,969 : 431,674 = 431,674 : x
  2. Step 2: Convert to fraction form
    197,969/431,674 = 431,674/x
  3. Step 3: Cross multiply
    197,969x = 431,674 × 431,674
  4. Step 4: Simplify right side
    197,969x = 186,342,442,276
  5. Step 5: Solve for x
    x = 186,342,442,276/197,969
  6. Step 6: Final answer
    x = 941,270.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.