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Finding the Third Proportional to 8,538.75 and 12,981.19

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Solution

The third proportional to 8,538.75 and 12,981.19 is: 19,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.75 : 12,981.19 = 12,981.19 : x
  2. Step 2: Convert to fraction form
    8,538.75/12,981.19 = 12,981.19/x
  3. Step 3: Cross multiply
    8,538.75x = 12,981.19 × 12,981.19
  4. Step 4: Simplify right side
    8,538.75x = 168,511,228.91
  5. Step 5: Solve for x
    x = 168,511,228.91/8,538.75
  6. Step 6: Final answer
    x = 19,734.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.