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Finding the Third Proportional to 402.75 and 865.25

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Solution

The third proportional to 402.75 and 865.25 is: 1,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.75 : 865.25 = 865.25 : x
  2. Step 2: Convert to fraction form
    402.75/865.25 = 865.25/x
  3. Step 3: Cross multiply
    402.75x = 865.25 × 865.25
  4. Step 4: Simplify right side
    402.75x = 748,657.56
  5. Step 5: Solve for x
    x = 748,657.56/402.75
  6. Step 6: Final answer
    x = 1,858.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.