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Finding the Third Proportional to 444.56 and 680.53

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Solution

The third proportional to 444.56 and 680.53 is: 1,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.56 : 680.53 = 680.53 : x
  2. Step 2: Convert to fraction form
    444.56/680.53 = 680.53/x
  3. Step 3: Cross multiply
    444.56x = 680.53 × 680.53
  4. Step 4: Simplify right side
    444.56x = 463,122.78
  5. Step 5: Solve for x
    x = 463,122.78/444.56
  6. Step 6: Final answer
    x = 1,041.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.