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Finding the Third Proportional to 40.31 and 85.50

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Solution

The third proportional to 40.31 and 85.50 is: 181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.31 : 85.50 = 85.50 : x
  2. Step 2: Convert to fraction form
    40.31/85.50 = 85.50/x
  3. Step 3: Cross multiply
    40.31x = 85.50 × 85.50
  4. Step 4: Simplify right side
    40.31x = 7,310.25
  5. Step 5: Solve for x
    x = 7,310.25/40.31
  6. Step 6: Final answer
    x = 181.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.