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Finding the Third Proportional to 81.63 and 118.63

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Solution

The third proportional to 81.63 and 118.63 is: 172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.63 : 118.63 = 118.63 : x
  2. Step 2: Convert to fraction form
    81.63/118.63 = 118.63/x
  3. Step 3: Cross multiply
    81.63x = 118.63 × 118.63
  4. Step 4: Simplify right side
    81.63x = 14,071.89
  5. Step 5: Solve for x
    x = 14,071.89/81.63
  6. Step 6: Final answer
    x = 172.40

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.