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Finding the Third Proportional to 301,081 and 661,203

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Solution

The third proportional to 301,081 and 661,203 is: 1,452,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,081 : 661,203 = 661,203 : x
  2. Step 2: Convert to fraction form
    301,081/661,203 = 661,203/x
  3. Step 3: Cross multiply
    301,081x = 661,203 × 661,203
  4. Step 4: Simplify right side
    301,081x = 437,189,407,209
  5. Step 5: Solve for x
    x = 437,189,407,209/301,081
  6. Step 6: Final answer
    x = 1,452,065.75

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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.