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Finding the Third Proportional to 3,216 and 3,536

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Solution

The third proportional to 3,216 and 3,536 is: 3,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216 : 3,536 = 3,536 : x
  2. Step 2: Convert to fraction form
    3,216/3,536 = 3,536/x
  3. Step 3: Cross multiply
    3,216x = 3,536 × 3,536
  4. Step 4: Simplify right side
    3,216x = 12,503,296
  5. Step 5: Solve for x
    x = 12,503,296/3,216
  6. Step 6: Final answer
    x = 3,887.84

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.