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Finding the Third Proportional to 40.34 and 85.90

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Solution

The third proportional to 40.34 and 85.90 is: 182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.34 : 85.90 = 85.90 : x
  2. Step 2: Convert to fraction form
    40.34/85.90 = 85.90/x
  3. Step 3: Cross multiply
    40.34x = 85.90 × 85.90
  4. Step 4: Simplify right side
    40.34x = 7,379.55
  5. Step 5: Solve for x
    x = 7,379.55/40.34
  6. Step 6: Final answer
    x = 182.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.