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Finding the Third Proportional to 18,315 and 27,823

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Solution

The third proportional to 18,315 and 27,823 is: 42,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,315 : 27,823 = 27,823 : x
  2. Step 2: Convert to fraction form
    18,315/27,823 = 27,823/x
  3. Step 3: Cross multiply
    18,315x = 27,823 × 27,823
  4. Step 4: Simplify right side
    18,315x = 774,119,329
  5. Step 5: Solve for x
    x = 774,119,329/18,315
  6. Step 6: Final answer
    x = 42,266.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.