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Finding the Third Proportional to 141.67 and 214.29

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Solution

The third proportional to 141.67 and 214.29 is: 324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.67 : 214.29 = 214.29 : x
  2. Step 2: Convert to fraction form
    141.67/214.29 = 214.29/x
  3. Step 3: Cross multiply
    141.67x = 214.29 × 214.29
  4. Step 4: Simplify right side
    141.67x = 45,918.55
  5. Step 5: Solve for x
    x = 45,918.55/141.67
  6. Step 6: Final answer
    x = 324.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.