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Finding the Third Proportional to 8,776.50 and 21,150.75

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Solution

The third proportional to 8,776.50 and 21,150.75 is: 50,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,776.50 : 21,150.75 = 21,150.75 : x
  2. Step 2: Convert to fraction form
    8,776.50/21,150.75 = 21,150.75/x
  3. Step 3: Cross multiply
    8,776.50x = 21,150.75 × 21,150.75
  4. Step 4: Simplify right side
    8,776.50x = 447,354,225.56
  5. Step 5: Solve for x
    x = 447,354,225.56/8,776.50
  6. Step 6: Final answer
    x = 50,971.83

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.