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Finding the Third Proportional to 27.87 and 61.05

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Solution

The third proportional to 27.87 and 61.05 is: 133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.87 : 61.05 = 61.05 : x
  2. Step 2: Convert to fraction form
    27.87/61.05 = 61.05/x
  3. Step 3: Cross multiply
    27.87x = 61.05 × 61.05
  4. Step 4: Simplify right side
    27.87x = 3,727.67
  5. Step 5: Solve for x
    x = 3,727.67/27.87
  6. Step 6: Final answer
    x = 133.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.