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Finding the Third Proportional to 132,819 and 203,265

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Solution

The third proportional to 132,819 and 203,265 is: 311,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,819 : 203,265 = 203,265 : x
  2. Step 2: Convert to fraction form
    132,819/203,265 = 203,265/x
  3. Step 3: Cross multiply
    132,819x = 203,265 × 203,265
  4. Step 4: Simplify right side
    132,819x = 41,316,660,225
  5. Step 5: Solve for x
    x = 41,316,660,225/132,819
  6. Step 6: Final answer
    x = 311,074.92

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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.