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Finding the Third Proportional to 18,665 and 40,299.25

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Solution

The third proportional to 18,665 and 40,299.25 is: 87,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,665 : 40,299.25 = 40,299.25 : x
  2. Step 2: Convert to fraction form
    18,665/40,299.25 = 40,299.25/x
  3. Step 3: Cross multiply
    18,665x = 40,299.25 × 40,299.25
  4. Step 4: Simplify right side
    18,665x = 1,624,029,550.56
  5. Step 5: Solve for x
    x = 1,624,029,550.56/18,665
  6. Step 6: Final answer
    x = 87,009.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.