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Finding the Third Proportional to 18,252.35 and 39,231.49

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Solution

The third proportional to 18,252.35 and 39,231.49 is: 84,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,252.35 : 39,231.49 = 39,231.49 : x
  2. Step 2: Convert to fraction form
    18,252.35/39,231.49 = 39,231.49/x
  3. Step 3: Cross multiply
    18,252.35x = 39,231.49 × 39,231.49
  4. Step 4: Simplify right side
    18,252.35x = 1,539,109,979.26
  5. Step 5: Solve for x
    x = 1,539,109,979.26/18,252.35
  6. Step 6: Final answer
    x = 84,323.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.