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Finding the Third Proportional to 168,255 and 359,856

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Solution

The third proportional to 168,255 and 359,856 is: 769,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,255 : 359,856 = 359,856 : x
  2. Step 2: Convert to fraction form
    168,255/359,856 = 359,856/x
  3. Step 3: Cross multiply
    168,255x = 359,856 × 359,856
  4. Step 4: Simplify right side
    168,255x = 129,496,340,736
  5. Step 5: Solve for x
    x = 129,496,340,736/168,255
  6. Step 6: Final answer
    x = 769,643.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.