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Finding the Third Proportional to 756.56 and 1,581.75

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Solution

The third proportional to 756.56 and 1,581.75 is: 3,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.56 : 1,581.75 = 1,581.75 : x
  2. Step 2: Convert to fraction form
    756.56/1,581.75 = 1,581.75/x
  3. Step 3: Cross multiply
    756.56x = 1,581.75 × 1,581.75
  4. Step 4: Simplify right side
    756.56x = 2,501,933.06
  5. Step 5: Solve for x
    x = 2,501,933.06/756.56
  6. Step 6: Final answer
    x = 3,306.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.