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Finding the Third Proportional to 8,215.17 and 12,308.84

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Solution

The third proportional to 8,215.17 and 12,308.84 is: 18,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.17 : 12,308.84 = 12,308.84 : x
  2. Step 2: Convert to fraction form
    8,215.17/12,308.84 = 12,308.84/x
  3. Step 3: Cross multiply
    8,215.17x = 12,308.84 × 12,308.84
  4. Step 4: Simplify right side
    8,215.17x = 151,507,442.14
  5. Step 5: Solve for x
    x = 151,507,442.14/8,215.17
  6. Step 6: Final answer
    x = 18,442.39

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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.