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Finding the Third Proportional to 155,380 and 336,176

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Solution

The third proportional to 155,380 and 336,176 is: 727,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,380 : 336,176 = 336,176 : x
  2. Step 2: Convert to fraction form
    155,380/336,176 = 336,176/x
  3. Step 3: Cross multiply
    155,380x = 336,176 × 336,176
  4. Step 4: Simplify right side
    155,380x = 113,014,302,976
  5. Step 5: Solve for x
    x = 113,014,302,976/155,380
  6. Step 6: Final answer
    x = 727,341.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.