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Finding the Third Proportional to 25.69 and 35.77

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Solution

The third proportional to 25.69 and 35.77 is: 49.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.69 : 35.77 = 35.77 : x
  2. Step 2: Convert to fraction form
    25.69/35.77 = 35.77/x
  3. Step 3: Cross multiply
    25.69x = 35.77 × 35.77
  4. Step 4: Simplify right side
    25.69x = 1,279.18
  5. Step 5: Solve for x
    x = 1,279.18/25.69
  6. Step 6: Final answer
    x = 49.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.