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Finding the Third Proportional to 100,401 and 209,125

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Solution

The third proportional to 100,401 and 209,125 is: 435,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,401 : 209,125 = 209,125 : x
  2. Step 2: Convert to fraction form
    100,401/209,125 = 209,125/x
  3. Step 3: Cross multiply
    100,401x = 209,125 × 209,125
  4. Step 4: Simplify right side
    100,401x = 43,733,265,625
  5. Step 5: Solve for x
    x = 43,733,265,625/100,401
  6. Step 6: Final answer
    x = 435,585.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.