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Finding the Third Proportional to 25.57 and 38.00

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Solution

The third proportional to 25.57 and 38.00 is: 56.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.57 : 38.00 = 38.00 : x
  2. Step 2: Convert to fraction form
    25.57/38.00 = 38.00/x
  3. Step 3: Cross multiply
    25.57x = 38.00 × 38.00
  4. Step 4: Simplify right side
    25.57x = 1,443.88
  5. Step 5: Solve for x
    x = 1,443.88/25.57
  6. Step 6: Final answer
    x = 56.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.