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Finding the Third Proportional to 76.50 and 122.63

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Solution

The third proportional to 76.50 and 122.63 is: 196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.50 : 122.63 = 122.63 : x
  2. Step 2: Convert to fraction form
    76.50/122.63 = 122.63/x
  3. Step 3: Cross multiply
    76.50x = 122.63 × 122.63
  4. Step 4: Simplify right side
    76.50x = 15,036.89
  5. Step 5: Solve for x
    x = 15,036.89/76.50
  6. Step 6: Final answer
    x = 196.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.