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Finding the Third Proportional to 3,509 and 4,253

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Solution

The third proportional to 3,509 and 4,253 is: 5,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509 : 4,253 = 4,253 : x
  2. Step 2: Convert to fraction form
    3,509/4,253 = 4,253/x
  3. Step 3: Cross multiply
    3,509x = 4,253 × 4,253
  4. Step 4: Simplify right side
    3,509x = 18,088,009
  5. Step 5: Solve for x
    x = 18,088,009/3,509
  6. Step 6: Final answer
    x = 5,154.75

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.