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Finding the Third Proportional to 71.44 and 110.63

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Solution

The third proportional to 71.44 and 110.63 is: 171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.44 : 110.63 = 110.63 : x
  2. Step 2: Convert to fraction form
    71.44/110.63 = 110.63/x
  3. Step 3: Cross multiply
    71.44x = 110.63 × 110.63
  4. Step 4: Simplify right side
    71.44x = 12,237.89
  5. Step 5: Solve for x
    x = 12,237.89/71.44
  6. Step 6: Final answer
    x = 171.31

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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.