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Finding the Third Proportional to 208,136 and 451,265

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Solution

The third proportional to 208,136 and 451,265 is: 978,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,136 : 451,265 = 451,265 : x
  2. Step 2: Convert to fraction form
    208,136/451,265 = 451,265/x
  3. Step 3: Cross multiply
    208,136x = 451,265 × 451,265
  4. Step 4: Simplify right side
    208,136x = 203,640,100,225
  5. Step 5: Solve for x
    x = 203,640,100,225/208,136
  6. Step 6: Final answer
    x = 978,399.22

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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.