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Finding the Third Proportional to 18,550 and 40,785

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Solution

The third proportional to 18,550 and 40,785 is: 89,672.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,550 : 40,785 = 40,785 : x
  2. Step 2: Convert to fraction form
    18,550/40,785 = 40,785/x
  3. Step 3: Cross multiply
    18,550x = 40,785 × 40,785
  4. Step 4: Simplify right side
    18,550x = 1,663,416,225
  5. Step 5: Solve for x
    x = 1,663,416,225/18,550
  6. Step 6: Final answer
    x = 89,672.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.