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Finding the Third Proportional to 20,477 and 43,140

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Solution

The third proportional to 20,477 and 43,140 is: 90,885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477 : 43,140 = 43,140 : x
  2. Step 2: Convert to fraction form
    20,477/43,140 = 43,140/x
  3. Step 3: Cross multiply
    20,477x = 43,140 × 43,140
  4. Step 4: Simplify right side
    20,477x = 1,861,059,600
  5. Step 5: Solve for x
    x = 1,861,059,600/20,477
  6. Step 6: Final answer
    x = 90,885.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.