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Finding the Third Proportional to 25.94 and 42.84

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Solution

The third proportional to 25.94 and 42.84 is: 70.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.94 : 42.84 = 42.84 : x
  2. Step 2: Convert to fraction form
    25.94/42.84 = 42.84/x
  3. Step 3: Cross multiply
    25.94x = 42.84 × 42.84
  4. Step 4: Simplify right side
    25.94x = 1,835.59
  5. Step 5: Solve for x
    x = 1,835.59/25.94
  6. Step 6: Final answer
    x = 70.77

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.