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Finding the Third Proportional to 51,808.50 and 68,768

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Solution

The third proportional to 51,808.50 and 68,768 is: 91,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,808.50 : 68,768 = 68,768 : x
  2. Step 2: Convert to fraction form
    51,808.50/68,768 = 68,768/x
  3. Step 3: Cross multiply
    51,808.50x = 68,768 × 68,768
  4. Step 4: Simplify right side
    51,808.50x = 4,729,037,824
  5. Step 5: Solve for x
    x = 4,729,037,824/51,808.50
  6. Step 6: Final answer
    x = 91,279.19

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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.