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Finding the Third Proportional to 8,412.19 and 12,455.44

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Solution

The third proportional to 8,412.19 and 12,455.44 is: 18,442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.19 : 12,455.44 = 12,455.44 : x
  2. Step 2: Convert to fraction form
    8,412.19/12,455.44 = 12,455.44/x
  3. Step 3: Cross multiply
    8,412.19x = 12,455.44 × 12,455.44
  4. Step 4: Simplify right side
    8,412.19x = 155,137,923.32
  5. Step 5: Solve for x
    x = 155,137,923.32/8,412.19
  6. Step 6: Final answer
    x = 18,442.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.