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Finding the Third Proportional to 17,918.25 and 39,009

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Solution

The third proportional to 17,918.25 and 39,009 is: 84,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,918.25 : 39,009 = 39,009 : x
  2. Step 2: Convert to fraction form
    17,918.25/39,009 = 39,009/x
  3. Step 3: Cross multiply
    17,918.25x = 39,009 × 39,009
  4. Step 4: Simplify right side
    17,918.25x = 1,521,702,081
  5. Step 5: Solve for x
    x = 1,521,702,081/17,918.25
  6. Step 6: Final answer
    x = 84,924.70

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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.