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Finding the Third Proportional to 3,304 and 3,572

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Solution

The third proportional to 3,304 and 3,572 is: 3,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304 : 3,572 = 3,572 : x
  2. Step 2: Convert to fraction form
    3,304/3,572 = 3,572/x
  3. Step 3: Cross multiply
    3,304x = 3,572 × 3,572
  4. Step 4: Simplify right side
    3,304x = 12,759,184
  5. Step 5: Solve for x
    x = 12,759,184/3,304
  6. Step 6: Final answer
    x = 3,861.74

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.