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Finding the Third Proportional to 8,396.63 and 18,328.31

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Solution

The third proportional to 8,396.63 and 18,328.31 is: 40,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.63 : 18,328.31 = 18,328.31 : x
  2. Step 2: Convert to fraction form
    8,396.63/18,328.31 = 18,328.31/x
  3. Step 3: Cross multiply
    8,396.63x = 18,328.31 × 18,328.31
  4. Step 4: Simplify right side
    8,396.63x = 335,927,039.10
  5. Step 5: Solve for x
    x = 335,927,039.10/8,396.63
  6. Step 6: Final answer
    x = 40,007.39

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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.