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Finding the Third Proportional to 154,170 and 328,698

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Solution

The third proportional to 154,170 and 328,698 is: 700,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,170 : 328,698 = 328,698 : x
  2. Step 2: Convert to fraction form
    154,170/328,698 = 328,698/x
  3. Step 3: Cross multiply
    154,170x = 328,698 × 328,698
  4. Step 4: Simplify right side
    154,170x = 108,042,375,204
  5. Step 5: Solve for x
    x = 108,042,375,204/154,170
  6. Step 6: Final answer
    x = 700,800.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.