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Finding the Third Proportional to 25.79 and 39.74

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Solution

The third proportional to 25.79 and 39.74 is: 61.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.79 : 39.74 = 39.74 : x
  2. Step 2: Convert to fraction form
    25.79/39.74 = 39.74/x
  3. Step 3: Cross multiply
    25.79x = 39.74 × 39.74
  4. Step 4: Simplify right side
    25.79x = 1,579.20
  5. Step 5: Solve for x
    x = 1,579.20/25.79
  6. Step 6: Final answer
    x = 61.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.