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Finding the Third Proportional to 827.72 and 1,964.88

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Solution

The third proportional to 827.72 and 1,964.88 is: 4,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.72 : 1,964.88 = 1,964.88 : x
  2. Step 2: Convert to fraction form
    827.72/1,964.88 = 1,964.88/x
  3. Step 3: Cross multiply
    827.72x = 1,964.88 × 1,964.88
  4. Step 4: Simplify right side
    827.72x = 3,860,764.47
  5. Step 5: Solve for x
    x = 3,860,764.47/827.72
  6. Step 6: Final answer
    x = 4,664.34

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.