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Finding the Third Proportional to 642 and 867

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Solution

The third proportional to 642 and 867 is: 1,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    642 : 867 = 867 : x
  2. Step 2: Convert to fraction form
    642/867 = 867/x
  3. Step 3: Cross multiply
    642x = 867 × 867
  4. Step 4: Simplify right side
    642x = 751,689
  5. Step 5: Solve for x
    x = 751,689/642
  6. Step 6: Final answer
    x = 1,170.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.