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Finding the Third Proportional to 57,136 and 122,856

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Solution

The third proportional to 57,136 and 122,856 is: 264,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,136 : 122,856 = 122,856 : x
  2. Step 2: Convert to fraction form
    57,136/122,856 = 122,856/x
  3. Step 3: Cross multiply
    57,136x = 122,856 × 122,856
  4. Step 4: Simplify right side
    57,136x = 15,093,596,736
  5. Step 5: Solve for x
    x = 15,093,596,736/57,136
  6. Step 6: Final answer
    x = 264,169.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.