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Finding the Third Proportional to 220.22 and 341.72

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Solution

The third proportional to 220.22 and 341.72 is: 530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.22 : 341.72 = 341.72 : x
  2. Step 2: Convert to fraction form
    220.22/341.72 = 341.72/x
  3. Step 3: Cross multiply
    220.22x = 341.72 × 341.72
  4. Step 4: Simplify right side
    220.22x = 116,771.70
  5. Step 5: Solve for x
    x = 116,771.70/220.22
  6. Step 6: Final answer
    x = 530.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.