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Finding the Third Proportional to 18,717 and 27,343.50

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Solution

The third proportional to 18,717 and 27,343.50 is: 39,945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,717 : 27,343.50 = 27,343.50 : x
  2. Step 2: Convert to fraction form
    18,717/27,343.50 = 27,343.50/x
  3. Step 3: Cross multiply
    18,717x = 27,343.50 × 27,343.50
  4. Step 4: Simplify right side
    18,717x = 747,666,992.25
  5. Step 5: Solve for x
    x = 747,666,992.25/18,717
  6. Step 6: Final answer
    x = 39,945.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.