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Finding the Third Proportional to 689.25 and 743.25

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Solution

The third proportional to 689.25 and 743.25 is: 801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.25 : 743.25 = 743.25 : x
  2. Step 2: Convert to fraction form
    689.25/743.25 = 743.25/x
  3. Step 3: Cross multiply
    689.25x = 743.25 × 743.25
  4. Step 4: Simplify right side
    689.25x = 552,420.56
  5. Step 5: Solve for x
    x = 552,420.56/689.25
  6. Step 6: Final answer
    x = 801.48

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.