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Finding the Third Proportional to 25.78 and 41.02

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Solution

The third proportional to 25.78 and 41.02 is: 65.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.78 : 41.02 = 41.02 : x
  2. Step 2: Convert to fraction form
    25.78/41.02 = 41.02/x
  3. Step 3: Cross multiply
    25.78x = 41.02 × 41.02
  4. Step 4: Simplify right side
    25.78x = 1,682.28
  5. Step 5: Solve for x
    x = 1,682.28/25.78
  6. Step 6: Final answer
    x = 65.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.