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Finding the Third Proportional to 8,698.78 and 18,960.19

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Solution

The third proportional to 8,698.78 and 18,960.19 is: 41,326.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.78 : 18,960.19 = 18,960.19 : x
  2. Step 2: Convert to fraction form
    8,698.78/18,960.19 = 18,960.19/x
  3. Step 3: Cross multiply
    8,698.78x = 18,960.19 × 18,960.19
  4. Step 4: Simplify right side
    8,698.78x = 359,488,710.04
  5. Step 5: Solve for x
    x = 359,488,710.04/8,698.78
  6. Step 6: Final answer
    x = 41,326.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.