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Finding the Third Proportional to 25.37 and 43.12

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Solution

The third proportional to 25.37 and 43.12 is: 73.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.37 : 43.12 = 43.12 : x
  2. Step 2: Convert to fraction form
    25.37/43.12 = 43.12/x
  3. Step 3: Cross multiply
    25.37x = 43.12 × 43.12
  4. Step 4: Simplify right side
    25.37x = 1,859.44
  5. Step 5: Solve for x
    x = 1,859.44/25.37
  6. Step 6: Final answer
    x = 73.31

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.