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Finding the Third Proportional to 155,208 and 338,847

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Solution

The third proportional to 155,208 and 338,847 is: 739,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,208 : 338,847 = 338,847 : x
  2. Step 2: Convert to fraction form
    155,208/338,847 = 338,847/x
  3. Step 3: Cross multiply
    155,208x = 338,847 × 338,847
  4. Step 4: Simplify right side
    155,208x = 114,817,289,409
  5. Step 5: Solve for x
    x = 114,817,289,409/155,208
  6. Step 6: Final answer
    x = 739,763.99

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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.