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Finding the Third Proportional to 39,798 and 86,172

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Solution

The third proportional to 39,798 and 86,172 is: 186,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,798 : 86,172 = 86,172 : x
  2. Step 2: Convert to fraction form
    39,798/86,172 = 86,172/x
  3. Step 3: Cross multiply
    39,798x = 86,172 × 86,172
  4. Step 4: Simplify right side
    39,798x = 7,425,613,584
  5. Step 5: Solve for x
    x = 7,425,613,584/39,798
  6. Step 6: Final answer
    x = 186,582.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.