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Finding the Third Proportional to 723.09 and 828.56

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Solution

The third proportional to 723.09 and 828.56 is: 949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.09 : 828.56 = 828.56 : x
  2. Step 2: Convert to fraction form
    723.09/828.56 = 828.56/x
  3. Step 3: Cross multiply
    723.09x = 828.56 × 828.56
  4. Step 4: Simplify right side
    723.09x = 686,515.82
  5. Step 5: Solve for x
    x = 686,515.82/723.09
  6. Step 6: Final answer
    x = 949.41

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.