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Finding the Third Proportional to 25 and 35.50

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Solution

The third proportional to 25 and 35.50 is: 50.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25 : 35.50 = 35.50 : x
  2. Step 2: Convert to fraction form
    25/35.50 = 35.50/x
  3. Step 3: Cross multiply
    25x = 35.50 × 35.50
  4. Step 4: Simplify right side
    25x = 1,260.25
  5. Step 5: Solve for x
    x = 1,260.25/25
  6. Step 6: Final answer
    x = 50.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.