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Finding the Third Proportional to 20,106 and 28,419

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Solution

The third proportional to 20,106 and 28,419 is: 40,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106 : 28,419 = 28,419 : x
  2. Step 2: Convert to fraction form
    20,106/28,419 = 28,419/x
  3. Step 3: Cross multiply
    20,106x = 28,419 × 28,419
  4. Step 4: Simplify right side
    20,106x = 807,639,561
  5. Step 5: Solve for x
    x = 807,639,561/20,106
  6. Step 6: Final answer
    x = 40,169.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.