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Finding the Third Proportional to 3,746 and 9,605

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Solution

The third proportional to 3,746 and 9,605 is: 24,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746 : 9,605 = 9,605 : x
  2. Step 2: Convert to fraction form
    3,746/9,605 = 9,605/x
  3. Step 3: Cross multiply
    3,746x = 9,605 × 9,605
  4. Step 4: Simplify right side
    3,746x = 92,256,025
  5. Step 5: Solve for x
    x = 92,256,025/3,746
  6. Step 6: Final answer
    x = 24,627.88

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.