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Finding the Third Proportional to 20,817 and 45,783

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Solution

The third proportional to 20,817 and 45,783 is: 100,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817 : 45,783 = 45,783 : x
  2. Step 2: Convert to fraction form
    20,817/45,783 = 45,783/x
  3. Step 3: Cross multiply
    20,817x = 45,783 × 45,783
  4. Step 4: Simplify right side
    20,817x = 2,096,083,089
  5. Step 5: Solve for x
    x = 2,096,083,089/20,817
  6. Step 6: Final answer
    x = 100,690.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.