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Finding the Third Proportional to 154,980 and 328,401

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Solution

The third proportional to 154,980 and 328,401 is: 695,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,980 : 328,401 = 328,401 : x
  2. Step 2: Convert to fraction form
    154,980/328,401 = 328,401/x
  3. Step 3: Cross multiply
    154,980x = 328,401 × 328,401
  4. Step 4: Simplify right side
    154,980x = 107,847,216,801
  5. Step 5: Solve for x
    x = 107,847,216,801/154,980
  6. Step 6: Final answer
    x = 695,878.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.