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Finding the Third Proportional to 51,810.50 and 68,771

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Solution

The third proportional to 51,810.50 and 68,771 is: 91,283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,810.50 : 68,771 = 68,771 : x
  2. Step 2: Convert to fraction form
    51,810.50/68,771 = 68,771/x
  3. Step 3: Cross multiply
    51,810.50x = 68,771 × 68,771
  4. Step 4: Simplify right side
    51,810.50x = 4,729,450,441
  5. Step 5: Solve for x
    x = 4,729,450,441/51,810.50
  6. Step 6: Final answer
    x = 91,283.63

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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.