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Finding the Third Proportional to 40.14 and 83.14

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Solution

The third proportional to 40.14 and 83.14 is: 172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.14 : 83.14 = 83.14 : x
  2. Step 2: Convert to fraction form
    40.14/83.14 = 83.14/x
  3. Step 3: Cross multiply
    40.14x = 83.14 × 83.14
  4. Step 4: Simplify right side
    40.14x = 6,911.55
  5. Step 5: Solve for x
    x = 6,911.55/40.14
  6. Step 6: Final answer
    x = 172.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.