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Finding the Third Proportional to 27.76 and 58.38

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Solution

The third proportional to 27.76 and 58.38 is: 122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.76 : 58.38 = 58.38 : x
  2. Step 2: Convert to fraction form
    27.76/58.38 = 58.38/x
  3. Step 3: Cross multiply
    27.76x = 58.38 × 58.38
  4. Step 4: Simplify right side
    27.76x = 3,407.87
  5. Step 5: Solve for x
    x = 3,407.87/27.76
  6. Step 6: Final answer
    x = 122.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.