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Finding the Third Proportional to 25.45 and 39.30

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Solution

The third proportional to 25.45 and 39.30 is: 60.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.45 : 39.30 = 39.30 : x
  2. Step 2: Convert to fraction form
    25.45/39.30 = 39.30/x
  3. Step 3: Cross multiply
    25.45x = 39.30 × 39.30
  4. Step 4: Simplify right side
    25.45x = 1,544.86
  5. Step 5: Solve for x
    x = 1,544.86/25.45
  6. Step 6: Final answer
    x = 60.69

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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.