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Finding the Third Proportional to 8,402 and 17,866

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Solution

The third proportional to 8,402 and 17,866 is: 37,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402 : 17,866 = 17,866 : x
  2. Step 2: Convert to fraction form
    8,402/17,866 = 17,866/x
  3. Step 3: Cross multiply
    8,402x = 17,866 × 17,866
  4. Step 4: Simplify right side
    8,402x = 319,193,956
  5. Step 5: Solve for x
    x = 319,193,956/8,402
  6. Step 6: Final answer
    x = 37,990.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.