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Finding the Third Proportional to 100,359.50 and 220,401

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Solution

The third proportional to 100,359.50 and 220,401 is: 484,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,359.50 : 220,401 = 220,401 : x
  2. Step 2: Convert to fraction form
    100,359.50/220,401 = 220,401/x
  3. Step 3: Cross multiply
    100,359.50x = 220,401 × 220,401
  4. Step 4: Simplify right side
    100,359.50x = 48,576,600,801
  5. Step 5: Solve for x
    x = 48,576,600,801/100,359.50
  6. Step 6: Final answer
    x = 484,025.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.