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Finding the Third Proportional to 579.94 and 821.53

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Solution

The third proportional to 579.94 and 821.53 is: 1,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.94 : 821.53 = 821.53 : x
  2. Step 2: Convert to fraction form
    579.94/821.53 = 821.53/x
  3. Step 3: Cross multiply
    579.94x = 821.53 × 821.53
  4. Step 4: Simplify right side
    579.94x = 674,913.59
  5. Step 5: Solve for x
    x = 674,913.59/579.94
  6. Step 6: Final answer
    x = 1,163.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.