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Finding the Third Proportional to 25.71 and 55.92

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Solution

The third proportional to 25.71 and 55.92 is: 121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.71 : 55.92 = 55.92 : x
  2. Step 2: Convert to fraction form
    25.71/55.92 = 55.92/x
  3. Step 3: Cross multiply
    25.71x = 55.92 × 55.92
  4. Step 4: Simplify right side
    25.71x = 3,127.32
  5. Step 5: Solve for x
    x = 3,127.32/25.71
  6. Step 6: Final answer
    x = 121.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.