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Finding the Third Proportional to 8,357 and 18,091

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Solution

The third proportional to 8,357 and 18,091 is: 39,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357 : 18,091 = 18,091 : x
  2. Step 2: Convert to fraction form
    8,357/18,091 = 18,091/x
  3. Step 3: Cross multiply
    8,357x = 18,091 × 18,091
  4. Step 4: Simplify right side
    8,357x = 327,284,281
  5. Step 5: Solve for x
    x = 327,284,281/8,357
  6. Step 6: Final answer
    x = 39,162.89

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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.