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Finding the Third Proportional to 8,239.22 and 12,749.91

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Solution

The third proportional to 8,239.22 and 12,749.91 is: 19,730.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.22 : 12,749.91 = 12,749.91 : x
  2. Step 2: Convert to fraction form
    8,239.22/12,749.91 = 12,749.91/x
  3. Step 3: Cross multiply
    8,239.22x = 12,749.91 × 12,749.91
  4. Step 4: Simplify right side
    8,239.22x = 162,560,109.38
  5. Step 5: Solve for x
    x = 162,560,109.38/8,239.22
  6. Step 6: Final answer
    x = 19,730.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.