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Finding the Third Proportional to 20,157 and 43,230

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Solution

The third proportional to 20,157 and 43,230 is: 92,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157 : 43,230 = 43,230 : x
  2. Step 2: Convert to fraction form
    20,157/43,230 = 43,230/x
  3. Step 3: Cross multiply
    20,157x = 43,230 × 43,230
  4. Step 4: Simplify right side
    20,157x = 1,868,832,900
  5. Step 5: Solve for x
    x = 1,868,832,900/20,157
  6. Step 6: Final answer
    x = 92,713.84

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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.