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Finding the Third Proportional to 769.50 and 827.09

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Solution

The third proportional to 769.50 and 827.09 is: 888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.50 : 827.09 = 827.09 : x
  2. Step 2: Convert to fraction form
    769.50/827.09 = 827.09/x
  3. Step 3: Cross multiply
    769.50x = 827.09 × 827.09
  4. Step 4: Simplify right side
    769.50x = 684,071.15
  5. Step 5: Solve for x
    x = 684,071.15/769.50
  6. Step 6: Final answer
    x = 888.98

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.