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Finding the Third Proportional to 40.36 and 64.27

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Solution

The third proportional to 40.36 and 64.27 is: 102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.36 : 64.27 = 64.27 : x
  2. Step 2: Convert to fraction form
    40.36/64.27 = 64.27/x
  3. Step 3: Cross multiply
    40.36x = 64.27 × 64.27
  4. Step 4: Simplify right side
    40.36x = 4,130.07
  5. Step 5: Solve for x
    x = 4,130.07/40.36
  6. Step 6: Final answer
    x = 102.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.