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Finding the Third Proportional to 27.82 and 40.64

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Solution

The third proportional to 27.82 and 40.64 is: 59.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.82 : 40.64 = 40.64 : x
  2. Step 2: Convert to fraction form
    27.82/40.64 = 40.64/x
  3. Step 3: Cross multiply
    27.82x = 40.64 × 40.64
  4. Step 4: Simplify right side
    27.82x = 1,651.66
  5. Step 5: Solve for x
    x = 1,651.66/27.82
  6. Step 6: Final answer
    x = 59.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.