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Finding the Third Proportional to 8,454.38 and 12,681.56

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Solution

The third proportional to 8,454.38 and 12,681.56 is: 19,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.38 : 12,681.56 = 12,681.56 : x
  2. Step 2: Convert to fraction form
    8,454.38/12,681.56 = 12,681.56/x
  3. Step 3: Cross multiply
    8,454.38x = 12,681.56 × 12,681.56
  4. Step 4: Simplify right side
    8,454.38x = 160,822,027.44
  5. Step 5: Solve for x
    x = 160,822,027.44/8,454.38
  6. Step 6: Final answer
    x = 19,022.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.