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Finding the Third Proportional to 203,136 and 440,172

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Solution

The third proportional to 203,136 and 440,172 is: 953,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,136 : 440,172 = 440,172 : x
  2. Step 2: Convert to fraction form
    203,136/440,172 = 440,172/x
  3. Step 3: Cross multiply
    203,136x = 440,172 × 440,172
  4. Step 4: Simplify right side
    203,136x = 193,751,389,584
  5. Step 5: Solve for x
    x = 193,751,389,584/203,136
  6. Step 6: Final answer
    x = 953,801.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.