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Finding the Third Proportional to 15.77 and 23.76

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Solution

The third proportional to 15.77 and 23.76 is: 35.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.77 : 23.76 = 23.76 : x
  2. Step 2: Convert to fraction form
    15.77/23.76 = 23.76/x
  3. Step 3: Cross multiply
    15.77x = 23.76 × 23.76
  4. Step 4: Simplify right side
    15.77x = 564.41
  5. Step 5: Solve for x
    x = 564.41/15.77
  6. Step 6: Final answer
    x = 35.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.