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Finding the Third Proportional to 15.74 and 40.77

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Solution

The third proportional to 15.74 and 40.77 is: 105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.74 : 40.77 = 40.77 : x
  2. Step 2: Convert to fraction form
    15.74/40.77 = 40.77/x
  3. Step 3: Cross multiply
    15.74x = 40.77 × 40.77
  4. Step 4: Simplify right side
    15.74x = 1,662.47
  5. Step 5: Solve for x
    x = 1,662.47/15.74
  6. Step 6: Final answer
    x = 105.61

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.