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Finding the Third Proportional to 137,636 and 203,896

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Solution

The third proportional to 137,636 and 203,896 is: 302,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,636 : 203,896 = 203,896 : x
  2. Step 2: Convert to fraction form
    137,636/203,896 = 203,896/x
  3. Step 3: Cross multiply
    137,636x = 203,896 × 203,896
  4. Step 4: Simplify right side
    137,636x = 41,573,578,816
  5. Step 5: Solve for x
    x = 41,573,578,816/137,636
  6. Step 6: Final answer
    x = 302,054.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.