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Finding the Third Proportional to 51,812.50 and 68,774

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Solution

The third proportional to 51,812.50 and 68,774 is: 91,288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,812.50 : 68,774 = 68,774 : x
  2. Step 2: Convert to fraction form
    51,812.50/68,774 = 68,774/x
  3. Step 3: Cross multiply
    51,812.50x = 68,774 × 68,774
  4. Step 4: Simplify right side
    51,812.50x = 4,729,863,076
  5. Step 5: Solve for x
    x = 4,729,863,076/51,812.50
  6. Step 6: Final answer
    x = 91,288.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.