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Finding the Third Proportional to 402.84 and 536.44

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Solution

The third proportional to 402.84 and 536.44 is: 714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.84 : 536.44 = 536.44 : x
  2. Step 2: Convert to fraction form
    402.84/536.44 = 536.44/x
  3. Step 3: Cross multiply
    402.84x = 536.44 × 536.44
  4. Step 4: Simplify right side
    402.84x = 287,765.19
  5. Step 5: Solve for x
    x = 287,765.19/402.84
  6. Step 6: Final answer
    x = 714.33

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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.