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Finding the Third Proportional to 25.99 and 55.56

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Solution

The third proportional to 25.99 and 55.56 is: 118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.99 : 55.56 = 55.56 : x
  2. Step 2: Convert to fraction form
    25.99/55.56 = 55.56/x
  3. Step 3: Cross multiply
    25.99x = 55.56 × 55.56
  4. Step 4: Simplify right side
    25.99x = 3,086.76
  5. Step 5: Solve for x
    x = 3,086.76/25.99
  6. Step 6: Final answer
    x = 118.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.