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Finding the Third Proportional to 168,120 and 361,728

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Solution

The third proportional to 168,120 and 361,728 is: 778,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,120 : 361,728 = 361,728 : x
  2. Step 2: Convert to fraction form
    168,120/361,728 = 361,728/x
  3. Step 3: Cross multiply
    168,120x = 361,728 × 361,728
  4. Step 4: Simplify right side
    168,120x = 130,847,145,984
  5. Step 5: Solve for x
    x = 130,847,145,984/168,120
  6. Step 6: Final answer
    x = 778,296.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.