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Finding the Third Proportional to 103.22 and 222.47

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Solution

The third proportional to 103.22 and 222.47 is: 479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.22 : 222.47 = 222.47 : x
  2. Step 2: Convert to fraction form
    103.22/222.47 = 222.47/x
  3. Step 3: Cross multiply
    103.22x = 222.47 × 222.47
  4. Step 4: Simplify right side
    103.22x = 49,492.34
  5. Step 5: Solve for x
    x = 49,492.34/103.22
  6. Step 6: Final answer
    x = 479.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.