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Finding the Third Proportional to 138,426 and 197,949

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Solution

The third proportional to 138,426 and 197,949 is: 283,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,426 : 197,949 = 197,949 : x
  2. Step 2: Convert to fraction form
    138,426/197,949 = 197,949/x
  3. Step 3: Cross multiply
    138,426x = 197,949 × 197,949
  4. Step 4: Simplify right side
    138,426x = 39,183,806,601
  5. Step 5: Solve for x
    x = 39,183,806,601/138,426
  6. Step 6: Final answer
    x = 283,066.81

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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.