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Finding the Third Proportional to 140.81 and 170.06

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Solution

The third proportional to 140.81 and 170.06 is: 205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.81 : 170.06 = 170.06 : x
  2. Step 2: Convert to fraction form
    140.81/170.06 = 170.06/x
  3. Step 3: Cross multiply
    140.81x = 170.06 × 170.06
  4. Step 4: Simplify right side
    140.81x = 28,921.25
  5. Step 5: Solve for x
    x = 28,921.25/140.81
  6. Step 6: Final answer
    x = 205.39

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.