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Finding the Third Proportional to 132,938 and 289,204

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Solution

The third proportional to 132,938 and 289,204 is: 629,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,938 : 289,204 = 289,204 : x
  2. Step 2: Convert to fraction form
    132,938/289,204 = 289,204/x
  3. Step 3: Cross multiply
    132,938x = 289,204 × 289,204
  4. Step 4: Simplify right side
    132,938x = 83,638,953,616
  5. Step 5: Solve for x
    x = 83,638,953,616/132,938
  6. Step 6: Final answer
    x = 629,157.60

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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.