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Finding the Third Proportional to 411.49 and 599.43

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Solution

The third proportional to 411.49 and 599.43 is: 873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.49 : 599.43 = 599.43 : x
  2. Step 2: Convert to fraction form
    411.49/599.43 = 599.43/x
  3. Step 3: Cross multiply
    411.49x = 599.43 × 599.43
  4. Step 4: Simplify right side
    411.49x = 359,318.29
  5. Step 5: Solve for x
    x = 359,318.29/411.49
  6. Step 6: Final answer
    x = 873.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.