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Finding the Third Proportional to 8,113.50 and 18,819.75

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Solution

The third proportional to 8,113.50 and 18,819.75 is: 43,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.50 : 18,819.75 = 18,819.75 : x
  2. Step 2: Convert to fraction form
    8,113.50/18,819.75 = 18,819.75/x
  3. Step 3: Cross multiply
    8,113.50x = 18,819.75 × 18,819.75
  4. Step 4: Simplify right side
    8,113.50x = 354,182,990.06
  5. Step 5: Solve for x
    x = 354,182,990.06/8,113.50
  6. Step 6: Final answer
    x = 43,653.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.