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Finding the Third Proportional to 219.80 and 301.01

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Solution

The third proportional to 219.80 and 301.01 is: 412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.80 : 301.01 = 301.01 : x
  2. Step 2: Convert to fraction form
    219.80/301.01 = 301.01/x
  3. Step 3: Cross multiply
    219.80x = 301.01 × 301.01
  4. Step 4: Simplify right side
    219.80x = 90,605.70
  5. Step 5: Solve for x
    x = 90,605.70/219.80
  6. Step 6: Final answer
    x = 412.22

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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.