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Finding the Third Proportional to 219.85 and 407.26

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Solution

The third proportional to 219.85 and 407.26 is: 754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.85 : 407.26 = 407.26 : x
  2. Step 2: Convert to fraction form
    219.85/407.26 = 407.26/x
  3. Step 3: Cross multiply
    219.85x = 407.26 × 407.26
  4. Step 4: Simplify right side
    219.85x = 165,860.17
  5. Step 5: Solve for x
    x = 165,860.17/219.85
  6. Step 6: Final answer
    x = 754.43

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.