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Finding the Third Proportional to 8,934.50 and 20,145.75

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Solution

The third proportional to 8,934.50 and 20,145.75 is: 45,425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.50 : 20,145.75 = 20,145.75 : x
  2. Step 2: Convert to fraction form
    8,934.50/20,145.75 = 20,145.75/x
  3. Step 3: Cross multiply
    8,934.50x = 20,145.75 × 20,145.75
  4. Step 4: Simplify right side
    8,934.50x = 405,851,243.06
  5. Step 5: Solve for x
    x = 405,851,243.06/8,934.50
  6. Step 6: Final answer
    x = 45,425.18

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.