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Finding the Third Proportional to 687.56 and 911.75

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Solution

The third proportional to 687.56 and 911.75 is: 1,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.56 : 911.75 = 911.75 : x
  2. Step 2: Convert to fraction form
    687.56/911.75 = 911.75/x
  3. Step 3: Cross multiply
    687.56x = 911.75 × 911.75
  4. Step 4: Simplify right side
    687.56x = 831,288.06
  5. Step 5: Solve for x
    x = 831,288.06/687.56
  6. Step 6: Final answer
    x = 1,209.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.