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Finding the Third Proportional to 74.25 and 104.63

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Solution

The third proportional to 74.25 and 104.63 is: 147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.25 : 104.63 = 104.63 : x
  2. Step 2: Convert to fraction form
    74.25/104.63 = 104.63/x
  3. Step 3: Cross multiply
    74.25x = 104.63 × 104.63
  4. Step 4: Simplify right side
    74.25x = 10,946.39
  5. Step 5: Solve for x
    x = 10,946.39/74.25
  6. Step 6: Final answer
    x = 147.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.