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Finding the Third Proportional to 431.75 and 574.25

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Solution

The third proportional to 431.75 and 574.25 is: 763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.75 : 574.25 = 574.25 : x
  2. Step 2: Convert to fraction form
    431.75/574.25 = 574.25/x
  3. Step 3: Cross multiply
    431.75x = 574.25 × 574.25
  4. Step 4: Simplify right side
    431.75x = 329,763.06
  5. Step 5: Solve for x
    x = 329,763.06/431.75
  6. Step 6: Final answer
    x = 763.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.