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Finding the Third Proportional to 289.50 and 687.75

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Solution

The third proportional to 289.50 and 687.75 is: 1,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.50 : 687.75 = 687.75 : x
  2. Step 2: Convert to fraction form
    289.50/687.75 = 687.75/x
  3. Step 3: Cross multiply
    289.50x = 687.75 × 687.75
  4. Step 4: Simplify right side
    289.50x = 473,000.06
  5. Step 5: Solve for x
    x = 473,000.06/289.50
  6. Step 6: Final answer
    x = 1,633.85

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.