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Finding the Third Proportional to 25.17 and 37.90

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Solution

The third proportional to 25.17 and 37.90 is: 57.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.17 : 37.90 = 37.90 : x
  2. Step 2: Convert to fraction form
    25.17/37.90 = 37.90/x
  3. Step 3: Cross multiply
    25.17x = 37.90 × 37.90
  4. Step 4: Simplify right side
    25.17x = 1,436.29
  5. Step 5: Solve for x
    x = 1,436.29/25.17
  6. Step 6: Final answer
    x = 57.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.