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Finding the Third Proportional to 138,663 and 205,956

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Solution

The third proportional to 138,663 and 205,956 is: 305,906.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,663 : 205,956 = 205,956 : x
  2. Step 2: Convert to fraction form
    138,663/205,956 = 205,956/x
  3. Step 3: Cross multiply
    138,663x = 205,956 × 205,956
  4. Step 4: Simplify right side
    138,663x = 42,417,873,936
  5. Step 5: Solve for x
    x = 42,417,873,936/138,663
  6. Step 6: Final answer
    x = 305,906.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.