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Finding the Third Proportional to 8,628 and 18,665

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Solution

The third proportional to 8,628 and 18,665 is: 40,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,628 : 18,665 = 18,665 : x
  2. Step 2: Convert to fraction form
    8,628/18,665 = 18,665/x
  3. Step 3: Cross multiply
    8,628x = 18,665 × 18,665
  4. Step 4: Simplify right side
    8,628x = 348,382,225
  5. Step 5: Solve for x
    x = 348,382,225/8,628
  6. Step 6: Final answer
    x = 40,378.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.