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Finding the Third Proportional to 202,158 and 440,172

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Solution

The third proportional to 202,158 and 440,172 is: 958,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,158 : 440,172 = 440,172 : x
  2. Step 2: Convert to fraction form
    202,158/440,172 = 440,172/x
  3. Step 3: Cross multiply
    202,158x = 440,172 × 440,172
  4. Step 4: Simplify right side
    202,158x = 193,751,389,584
  5. Step 5: Solve for x
    x = 193,751,389,584/202,158
  6. Step 6: Final answer
    x = 958,415.64

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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.