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Finding the Third Proportional to 50,776.50 and 76,056

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Solution

The third proportional to 50,776.50 and 76,056 is: 113,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,776.50 : 76,056 = 76,056 : x
  2. Step 2: Convert to fraction form
    50,776.50/76,056 = 76,056/x
  3. Step 3: Cross multiply
    50,776.50x = 76,056 × 76,056
  4. Step 4: Simplify right side
    50,776.50x = 5,784,515,136
  5. Step 5: Solve for x
    x = 5,784,515,136/50,776.50
  6. Step 6: Final answer
    x = 113,921.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.