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Finding the Third Proportional to 25.21 and 38.77

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Solution

The third proportional to 25.21 and 38.77 is: 59.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.21 : 38.77 = 38.77 : x
  2. Step 2: Convert to fraction form
    25.21/38.77 = 38.77/x
  3. Step 3: Cross multiply
    25.21x = 38.77 × 38.77
  4. Step 4: Simplify right side
    25.21x = 1,502.77
  5. Step 5: Solve for x
    x = 1,502.77/25.21
  6. Step 6: Final answer
    x = 59.62

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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.