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Finding the Third Proportional to 170,838 and 256,176

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Solution

The third proportional to 170,838 and 256,176 is: 384,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,838 : 256,176 = 256,176 : x
  2. Step 2: Convert to fraction form
    170,838/256,176 = 256,176/x
  3. Step 3: Cross multiply
    170,838x = 256,176 × 256,176
  4. Step 4: Simplify right side
    170,838x = 65,626,142,976
  5. Step 5: Solve for x
    x = 65,626,142,976/170,838
  6. Step 6: Final answer
    x = 384,142.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.