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Finding the Third Proportional to 17.64 and 27.87

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Solution

The third proportional to 17.64 and 27.87 is: 44.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.64 : 27.87 = 27.87 : x
  2. Step 2: Convert to fraction form
    17.64/27.87 = 27.87/x
  3. Step 3: Cross multiply
    17.64x = 27.87 × 27.87
  4. Step 4: Simplify right side
    17.64x = 776.53
  5. Step 5: Solve for x
    x = 776.53/17.64
  6. Step 6: Final answer
    x = 44.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.