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Finding the Third Proportional to 398.36 and 573.64

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Solution

The third proportional to 398.36 and 573.64 is: 826.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.36 : 573.64 = 573.64 : x
  2. Step 2: Convert to fraction form
    398.36/573.64 = 573.64/x
  3. Step 3: Cross multiply
    398.36x = 573.64 × 573.64
  4. Step 4: Simplify right side
    398.36x = 329,068.05
  5. Step 5: Solve for x
    x = 329,068.05/398.36
  6. Step 6: Final answer
    x = 826.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.