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Finding the Third Proportional to 142.13 and 311.75

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Solution

The third proportional to 142.13 and 311.75 is: 683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.13 : 311.75 = 311.75 : x
  2. Step 2: Convert to fraction form
    142.13/311.75 = 311.75/x
  3. Step 3: Cross multiply
    142.13x = 311.75 × 311.75
  4. Step 4: Simplify right side
    142.13x = 97,188.06
  5. Step 5: Solve for x
    x = 97,188.06/142.13
  6. Step 6: Final answer
    x = 683.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.