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Finding the Third Proportional to 40.31 and 85.06

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Solution

The third proportional to 40.31 and 85.06 is: 179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.31 : 85.06 = 85.06 : x
  2. Step 2: Convert to fraction form
    40.31/85.06 = 85.06/x
  3. Step 3: Cross multiply
    40.31x = 85.06 × 85.06
  4. Step 4: Simplify right side
    40.31x = 7,235.63
  5. Step 5: Solve for x
    x = 7,235.63/40.31
  6. Step 6: Final answer
    x = 179.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.