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Finding the Third Proportional to 3,290 and 4,523

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Solution

The third proportional to 3,290 and 4,523 is: 6,218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290 : 4,523 = 4,523 : x
  2. Step 2: Convert to fraction form
    3,290/4,523 = 4,523/x
  3. Step 3: Cross multiply
    3,290x = 4,523 × 4,523
  4. Step 4: Simplify right side
    3,290x = 20,457,529
  5. Step 5: Solve for x
    x = 20,457,529/3,290
  6. Step 6: Final answer
    x = 6,218.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.