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Finding the Third Proportional to 8,278.14 and 12,173.73

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Solution

The third proportional to 8,278.14 and 12,173.73 is: 17,902.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.14 : 12,173.73 = 12,173.73 : x
  2. Step 2: Convert to fraction form
    8,278.14/12,173.73 = 12,173.73/x
  3. Step 3: Cross multiply
    8,278.14x = 12,173.73 × 12,173.73
  4. Step 4: Simplify right side
    8,278.14x = 148,199,713.53
  5. Step 5: Solve for x
    x = 148,199,713.53/8,278.14
  6. Step 6: Final answer
    x = 17,902.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.