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Finding the Third Proportional to 765.25 and 1,669.25

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Solution

The third proportional to 765.25 and 1,669.25 is: 3,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.25 : 1,669.25 = 1,669.25 : x
  2. Step 2: Convert to fraction form
    765.25/1,669.25 = 1,669.25/x
  3. Step 3: Cross multiply
    765.25x = 1,669.25 × 1,669.25
  4. Step 4: Simplify right side
    765.25x = 2,786,395.56
  5. Step 5: Solve for x
    x = 2,786,395.56/765.25
  6. Step 6: Final answer
    x = 3,641.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.