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Finding the Third Proportional to 132,939 and 289,206

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Solution

The third proportional to 132,939 and 289,206 is: 629,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,939 : 289,206 = 289,206 : x
  2. Step 2: Convert to fraction form
    132,939/289,206 = 289,206/x
  3. Step 3: Cross multiply
    132,939x = 289,206 × 289,206
  4. Step 4: Simplify right side
    132,939x = 83,640,110,436
  5. Step 5: Solve for x
    x = 83,640,110,436/132,939
  6. Step 6: Final answer
    x = 629,161.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.