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Finding the Third Proportional to 20,176 and 40,783

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Solution

The third proportional to 20,176 and 40,783 is: 82,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176 : 40,783 = 40,783 : x
  2. Step 2: Convert to fraction form
    20,176/40,783 = 40,783/x
  3. Step 3: Cross multiply
    20,176x = 40,783 × 40,783
  4. Step 4: Simplify right side
    20,176x = 1,663,253,089
  5. Step 5: Solve for x
    x = 1,663,253,089/20,176
  6. Step 6: Final answer
    x = 82,437.21

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.