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Finding the Third Proportional to 27.42 and 40.01

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Solution

The third proportional to 27.42 and 40.01 is: 58.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.42 : 40.01 = 40.01 : x
  2. Step 2: Convert to fraction form
    27.42/40.01 = 40.01/x
  3. Step 3: Cross multiply
    27.42x = 40.01 × 40.01
  4. Step 4: Simplify right side
    27.42x = 1,600.63
  5. Step 5: Solve for x
    x = 1,600.63/27.42
  6. Step 6: Final answer
    x = 58.37

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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.