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Finding the Third Proportional to 675.50 and 830.75

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Solution

The third proportional to 675.50 and 830.75 is: 1,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.50 : 830.75 = 830.75 : x
  2. Step 2: Convert to fraction form
    675.50/830.75 = 830.75/x
  3. Step 3: Cross multiply
    675.50x = 830.75 × 830.75
  4. Step 4: Simplify right side
    675.50x = 690,145.56
  5. Step 5: Solve for x
    x = 690,145.56/675.50
  6. Step 6: Final answer
    x = 1,021.68

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.