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Finding the Third Proportional to 18,073 and 27,815

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Solution

The third proportional to 18,073 and 27,815 is: 42,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,073 : 27,815 = 27,815 : x
  2. Step 2: Convert to fraction form
    18,073/27,815 = 27,815/x
  3. Step 3: Cross multiply
    18,073x = 27,815 × 27,815
  4. Step 4: Simplify right side
    18,073x = 773,674,225
  5. Step 5: Solve for x
    x = 773,674,225/18,073
  6. Step 6: Final answer
    x = 42,808.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.