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Finding the Third Proportional to 154,401 and 330,205.50

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Solution

The third proportional to 154,401 and 330,205.50 is: 706,185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,401 : 330,205.50 = 330,205.50 : x
  2. Step 2: Convert to fraction form
    154,401/330,205.50 = 330,205.50/x
  3. Step 3: Cross multiply
    154,401x = 330,205.50 × 330,205.50
  4. Step 4: Simplify right side
    154,401x = 109,035,672,230.25
  5. Step 5: Solve for x
    x = 109,035,672,230.25/154,401
  6. Step 6: Final answer
    x = 706,185.01

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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.