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Finding the Third Proportional to 50,968 and 109,706

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Solution

The third proportional to 50,968 and 109,706 is: 236,136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,968 : 109,706 = 109,706 : x
  2. Step 2: Convert to fraction form
    50,968/109,706 = 109,706/x
  3. Step 3: Cross multiply
    50,968x = 109,706 × 109,706
  4. Step 4: Simplify right side
    50,968x = 12,035,406,436
  5. Step 5: Solve for x
    x = 12,035,406,436/50,968
  6. Step 6: Final answer
    x = 236,136.53

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