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Finding the Third Proportional to 686.50 and 872.75

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Solution

The third proportional to 686.50 and 872.75 is: 1,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.50 : 872.75 = 872.75 : x
  2. Step 2: Convert to fraction form
    686.50/872.75 = 872.75/x
  3. Step 3: Cross multiply
    686.50x = 872.75 × 872.75
  4. Step 4: Simplify right side
    686.50x = 761,692.56
  5. Step 5: Solve for x
    x = 761,692.56/686.50
  6. Step 6: Final answer
    x = 1,109.53

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.