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Finding the Third Proportional to 6,752.25 and 10,682.44

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Solution

The third proportional to 6,752.25 and 10,682.44 is: 16,900.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.25 : 10,682.44 = 10,682.44 : x
  2. Step 2: Convert to fraction form
    6,752.25/10,682.44 = 10,682.44/x
  3. Step 3: Cross multiply
    6,752.25x = 10,682.44 × 10,682.44
  4. Step 4: Simplify right side
    6,752.25x = 114,114,470.94
  5. Step 5: Solve for x
    x = 114,114,470.94/6,752.25
  6. Step 6: Final answer
    x = 16,900.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.