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Finding the Third Proportional to 223.17 and 305.17

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Solution

The third proportional to 223.17 and 305.17 is: 417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.17 : 305.17 = 305.17 : x
  2. Step 2: Convert to fraction form
    223.17/305.17 = 305.17/x
  3. Step 3: Cross multiply
    223.17x = 305.17 × 305.17
  4. Step 4: Simplify right side
    223.17x = 93,131.07
  5. Step 5: Solve for x
    x = 93,131.07/223.17
  6. Step 6: Final answer
    x = 417.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.