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Finding the Third Proportional to 8,323 and 18,209

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Solution

The third proportional to 8,323 and 18,209 is: 39,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323 : 18,209 = 18,209 : x
  2. Step 2: Convert to fraction form
    8,323/18,209 = 18,209/x
  3. Step 3: Cross multiply
    8,323x = 18,209 × 18,209
  4. Step 4: Simplify right side
    8,323x = 331,567,681
  5. Step 5: Solve for x
    x = 331,567,681/8,323
  6. Step 6: Final answer
    x = 39,837.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.