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Finding the Third Proportional to 17,878 and 39,212

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Solution

The third proportional to 17,878 and 39,212 is: 86,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878 : 39,212 = 39,212 : x
  2. Step 2: Convert to fraction form
    17,878/39,212 = 39,212/x
  3. Step 3: Cross multiply
    17,878x = 39,212 × 39,212
  4. Step 4: Simplify right side
    17,878x = 1,537,580,944
  5. Step 5: Solve for x
    x = 1,537,580,944/17,878
  6. Step 6: Final answer
    x = 86,004.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.