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Finding the Third Proportional to 578.53 and 828.42

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Solution

The third proportional to 578.53 and 828.42 is: 1,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.53 : 828.42 = 828.42 : x
  2. Step 2: Convert to fraction form
    578.53/828.42 = 828.42/x
  3. Step 3: Cross multiply
    578.53x = 828.42 × 828.42
  4. Step 4: Simplify right side
    578.53x = 686,282.80
  5. Step 5: Solve for x
    x = 686,282.80/578.53
  6. Step 6: Final answer
    x = 1,186.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.