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Finding the Third Proportional to 8,961 and 18,495

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Solution

The third proportional to 8,961 and 18,495 is: 38,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961 : 18,495 = 18,495 : x
  2. Step 2: Convert to fraction form
    8,961/18,495 = 18,495/x
  3. Step 3: Cross multiply
    8,961x = 18,495 × 18,495
  4. Step 4: Simplify right side
    8,961x = 342,065,025
  5. Step 5: Solve for x
    x = 342,065,025/8,961
  6. Step 6: Final answer
    x = 38,172.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.