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Finding the Third Proportional to 8,995 and 21,009

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Solution

The third proportional to 8,995 and 21,009 is: 49,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,995 : 21,009 = 21,009 : x
  2. Step 2: Convert to fraction form
    8,995/21,009 = 21,009/x
  3. Step 3: Cross multiply
    8,995x = 21,009 × 21,009
  4. Step 4: Simplify right side
    8,995x = 441,378,081
  5. Step 5: Solve for x
    x = 441,378,081/8,995
  6. Step 6: Final answer
    x = 49,069.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.