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Finding the Third Proportional to 8,438.06 and 18,097.69

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Solution

The third proportional to 8,438.06 and 18,097.69 is: 38,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.06 : 18,097.69 = 18,097.69 : x
  2. Step 2: Convert to fraction form
    8,438.06/18,097.69 = 18,097.69/x
  3. Step 3: Cross multiply
    8,438.06x = 18,097.69 × 18,097.69
  4. Step 4: Simplify right side
    8,438.06x = 327,526,292.85
  5. Step 5: Solve for x
    x = 327,526,292.85/8,438.06
  6. Step 6: Final answer
    x = 38,815.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.