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Finding the Third Proportional to 223.88 and 320.34

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Solution

The third proportional to 223.88 and 320.34 is: 458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.88 : 320.34 = 320.34 : x
  2. Step 2: Convert to fraction form
    223.88/320.34 = 320.34/x
  3. Step 3: Cross multiply
    223.88x = 320.34 × 320.34
  4. Step 4: Simplify right side
    223.88x = 102,620.12
  5. Step 5: Solve for x
    x = 102,620.12/223.88
  6. Step 6: Final answer
    x = 458.38

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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.