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Finding the Third Proportional to 142 and 311.25

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Solution

The third proportional to 142 and 311.25 is: 682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142 : 311.25 = 311.25 : x
  2. Step 2: Convert to fraction form
    142/311.25 = 311.25/x
  3. Step 3: Cross multiply
    142x = 311.25 × 311.25
  4. Step 4: Simplify right side
    142x = 96,876.56
  5. Step 5: Solve for x
    x = 96,876.56/142
  6. Step 6: Final answer
    x = 682.23

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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.