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Finding the Third Proportional to 18,817 and 40,225

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Solution

The third proportional to 18,817 and 40,225 is: 85,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,817 : 40,225 = 40,225 : x
  2. Step 2: Convert to fraction form
    18,817/40,225 = 40,225/x
  3. Step 3: Cross multiply
    18,817x = 40,225 × 40,225
  4. Step 4: Simplify right side
    18,817x = 1,618,050,625
  5. Step 5: Solve for x
    x = 1,618,050,625/18,817
  6. Step 6: Final answer
    x = 85,988.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.