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Finding the Third Proportional to 1,285.56 and 2,668.57

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Solution

The third proportional to 1,285.56 and 2,668.57 is: 5,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.56 : 2,668.57 = 2,668.57 : x
  2. Step 2: Convert to fraction form
    1,285.56/2,668.57 = 2,668.57/x
  3. Step 3: Cross multiply
    1,285.56x = 2,668.57 × 2,668.57
  4. Step 4: Simplify right side
    1,285.56x = 7,121,267.51
  5. Step 5: Solve for x
    x = 7,121,267.51/1,285.56
  6. Step 6: Final answer
    x = 5,539.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.