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Finding the Third Proportional to 20,043 and 34,215

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Solution

The third proportional to 20,043 and 34,215 is: 58,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043 : 34,215 = 34,215 : x
  2. Step 2: Convert to fraction form
    20,043/34,215 = 34,215/x
  3. Step 3: Cross multiply
    20,043x = 34,215 × 34,215
  4. Step 4: Simplify right side
    20,043x = 1,170,666,225
  5. Step 5: Solve for x
    x = 1,170,666,225/20,043
  6. Step 6: Final answer
    x = 58,407.73

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.