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Finding the Third Proportional to 8,401.50 and 20,373.75

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Solution

The third proportional to 8,401.50 and 20,373.75 is: 49,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.50 : 20,373.75 = 20,373.75 : x
  2. Step 2: Convert to fraction form
    8,401.50/20,373.75 = 20,373.75/x
  3. Step 3: Cross multiply
    8,401.50x = 20,373.75 × 20,373.75
  4. Step 4: Simplify right side
    8,401.50x = 415,089,689.06
  5. Step 5: Solve for x
    x = 415,089,689.06/8,401.50
  6. Step 6: Final answer
    x = 49,406.62

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.