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Finding the Third Proportional to 18,288 and 37,865

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Solution

The third proportional to 18,288 and 37,865 is: 78,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,288 : 37,865 = 37,865 : x
  2. Step 2: Convert to fraction form
    18,288/37,865 = 37,865/x
  3. Step 3: Cross multiply
    18,288x = 37,865 × 37,865
  4. Step 4: Simplify right side
    18,288x = 1,433,758,225
  5. Step 5: Solve for x
    x = 1,433,758,225/18,288
  6. Step 6: Final answer
    x = 78,398.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.