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Finding the Third Proportional to 4,247 and 5,291

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Solution

The third proportional to 4,247 and 5,291 is: 6,591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,247 : 5,291 = 5,291 : x
  2. Step 2: Convert to fraction form
    4,247/5,291 = 5,291/x
  3. Step 3: Cross multiply
    4,247x = 5,291 × 5,291
  4. Step 4: Simplify right side
    4,247x = 27,994,681
  5. Step 5: Solve for x
    x = 27,994,681/4,247
  6. Step 6: Final answer
    x = 6,591.64

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.