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Finding the Third Proportional to 86,979.23 and 185,349.09

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Solution

The third proportional to 86,979.23 and 185,349.09 is: 394,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,979.23 : 185,349.09 = 185,349.09 : x
  2. Step 2: Convert to fraction form
    86,979.23/185,349.09 = 185,349.09/x
  3. Step 3: Cross multiply
    86,979.23x = 185,349.09 × 185,349.09
  4. Step 4: Simplify right side
    86,979.23x = 34,354,286,553.95
  5. Step 5: Solve for x
    x = 34,354,286,553.95/86,979.23
  6. Step 6: Final answer
    x = 394,971.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.