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Finding the Third Proportional to 133,216 and 203,786

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Solution

The third proportional to 133,216 and 203,786 is: 311,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,216 : 203,786 = 203,786 : x
  2. Step 2: Convert to fraction form
    133,216/203,786 = 203,786/x
  3. Step 3: Cross multiply
    133,216x = 203,786 × 203,786
  4. Step 4: Simplify right side
    133,216x = 41,528,733,796
  5. Step 5: Solve for x
    x = 41,528,733,796/133,216
  6. Step 6: Final answer
    x = 311,739.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.