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Finding the Third Proportional to 132,776 and 203,212

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Solution

The third proportional to 132,776 and 203,212 is: 311,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,776 : 203,212 = 203,212 : x
  2. Step 2: Convert to fraction form
    132,776/203,212 = 203,212/x
  3. Step 3: Cross multiply
    132,776x = 203,212 × 203,212
  4. Step 4: Simplify right side
    132,776x = 41,295,116,944
  5. Step 5: Solve for x
    x = 41,295,116,944/132,776
  6. Step 6: Final answer
    x = 311,013.41

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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.