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Finding the Third Proportional to 201,189 and 301,808

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Solution

The third proportional to 201,189 and 301,808 is: 452,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,189 : 301,808 = 301,808 : x
  2. Step 2: Convert to fraction form
    201,189/301,808 = 301,808/x
  3. Step 3: Cross multiply
    201,189x = 301,808 × 301,808
  4. Step 4: Simplify right side
    201,189x = 91,088,068,864
  5. Step 5: Solve for x
    x = 91,088,068,864/201,189
  6. Step 6: Final answer
    x = 452,748.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.