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Finding the Third Proportional to 202,120 and 440,121

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Solution

The third proportional to 202,120 and 440,121 is: 958,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,120 : 440,121 = 440,121 : x
  2. Step 2: Convert to fraction form
    202,120/440,121 = 440,121/x
  3. Step 3: Cross multiply
    202,120x = 440,121 × 440,121
  4. Step 4: Simplify right side
    202,120x = 193,706,494,641
  5. Step 5: Solve for x
    x = 193,706,494,641/202,120
  6. Step 6: Final answer
    x = 958,373.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.