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Finding the Third Proportional to 138,441 and 197,967

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Solution

The third proportional to 138,441 and 197,967 is: 283,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,441 : 197,967 = 197,967 : x
  2. Step 2: Convert to fraction form
    138,441/197,967 = 197,967/x
  3. Step 3: Cross multiply
    138,441x = 197,967 × 197,967
  4. Step 4: Simplify right side
    138,441x = 39,190,933,089
  5. Step 5: Solve for x
    x = 39,190,933,089/138,441
  6. Step 6: Final answer
    x = 283,087.62

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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.