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Finding the Third Proportional to 138,844 and 203,003

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Solution

The third proportional to 138,844 and 203,003 is: 296,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,844 : 203,003 = 203,003 : x
  2. Step 2: Convert to fraction form
    138,844/203,003 = 203,003/x
  3. Step 3: Cross multiply
    138,844x = 203,003 × 203,003
  4. Step 4: Simplify right side
    138,844x = 41,210,218,009
  5. Step 5: Solve for x
    x = 41,210,218,009/138,844
  6. Step 6: Final answer
    x = 296,809.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.