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Finding the Third Proportional to 8,509 and 18,029

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Solution

The third proportional to 8,509 and 18,029 is: 38,200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509 : 18,029 = 18,029 : x
  2. Step 2: Convert to fraction form
    8,509/18,029 = 18,029/x
  3. Step 3: Cross multiply
    8,509x = 18,029 × 18,029
  4. Step 4: Simplify right side
    8,509x = 325,044,841
  5. Step 5: Solve for x
    x = 325,044,841/8,509
  6. Step 6: Final answer
    x = 38,200.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.