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Finding the Third Proportional to 132,940 and 289,208

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Solution

The third proportional to 132,940 and 289,208 is: 629,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,940 : 289,208 = 289,208 : x
  2. Step 2: Convert to fraction form
    132,940/289,208 = 289,208/x
  3. Step 3: Cross multiply
    132,940x = 289,208 × 289,208
  4. Step 4: Simplify right side
    132,940x = 83,641,267,264
  5. Step 5: Solve for x
    x = 83,641,267,264/132,940
  6. Step 6: Final answer
    x = 629,165.54

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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.