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Finding the Third Proportional to 402.75 and 541.97

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Solution

The third proportional to 402.75 and 541.97 is: 729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.75 : 541.97 = 541.97 : x
  2. Step 2: Convert to fraction form
    402.75/541.97 = 541.97/x
  3. Step 3: Cross multiply
    402.75x = 541.97 × 541.97
  4. Step 4: Simplify right side
    402.75x = 293,730.13
  5. Step 5: Solve for x
    x = 293,730.13/402.75
  6. Step 6: Final answer
    x = 729.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.