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Finding the Third Proportional to 25 and 61

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Solution

The third proportional to 25 and 61 is: 148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25 : 61 = 61 : x
  2. Step 2: Convert to fraction form
    25/61 = 61/x
  3. Step 3: Cross multiply
    25x = 61 × 61
  4. Step 4: Simplify right side
    25x = 3,721
  5. Step 5: Solve for x
    x = 3,721/25
  6. Step 6: Final answer
    x = 148.84

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.