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Finding the Third Proportional to 8,981.50 and 20,980.25

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Solution

The third proportional to 8,981.50 and 20,980.25 is: 49,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,981.50 : 20,980.25 = 20,980.25 : x
  2. Step 2: Convert to fraction form
    8,981.50/20,980.25 = 20,980.25/x
  3. Step 3: Cross multiply
    8,981.50x = 20,980.25 × 20,980.25
  4. Step 4: Simplify right side
    8,981.50x = 440,170,890.06
  5. Step 5: Solve for x
    x = 440,170,890.06/8,981.50
  6. Step 6: Final answer
    x = 49,008.62

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.