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Finding the Third Proportional to 20,820 and 45,793.50

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Solution

The third proportional to 20,820 and 45,793.50 is: 100,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,820 : 45,793.50 = 45,793.50 : x
  2. Step 2: Convert to fraction form
    20,820/45,793.50 = 45,793.50/x
  3. Step 3: Cross multiply
    20,820x = 45,793.50 × 45,793.50
  4. Step 4: Simplify right side
    20,820x = 2,097,044,642.25
  5. Step 5: Solve for x
    x = 2,097,044,642.25/20,820
  6. Step 6: Final answer
    x = 100,722.61

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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.