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Finding the Third Proportional to 722.67 and 1,687.08

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Solution

The third proportional to 722.67 and 1,687.08 is: 3,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.67 : 1,687.08 = 1,687.08 : x
  2. Step 2: Convert to fraction form
    722.67/1,687.08 = 1,687.08/x
  3. Step 3: Cross multiply
    722.67x = 1,687.08 × 1,687.08
  4. Step 4: Simplify right side
    722.67x = 2,846,232.60
  5. Step 5: Solve for x
    x = 2,846,232.60/722.67
  6. Step 6: Final answer
    x = 3,938.49

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.