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Finding the Third Proportional to 765.25 and 1,627.75

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Solution

The third proportional to 765.25 and 1,627.75 is: 3,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.25 : 1,627.75 = 1,627.75 : x
  2. Step 2: Convert to fraction form
    765.25/1,627.75 = 1,627.75/x
  3. Step 3: Cross multiply
    765.25x = 1,627.75 × 1,627.75
  4. Step 4: Simplify right side
    765.25x = 2,649,570.06
  5. Step 5: Solve for x
    x = 2,649,570.06/765.25
  6. Step 6: Final answer
    x = 3,462.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.