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Finding the Third Proportional to 77,982.94 and 159,654.38

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Solution

The third proportional to 77,982.94 and 159,654.38 is: 326,860.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,982.94 : 159,654.38 = 159,654.38 : x
  2. Step 2: Convert to fraction form
    77,982.94/159,654.38 = 159,654.38/x
  3. Step 3: Cross multiply
    77,982.94x = 159,654.38 × 159,654.38
  4. Step 4: Simplify right side
    77,982.94x = 25,489,519,456.64
  5. Step 5: Solve for x
    x = 25,489,519,456.64/77,982.94
  6. Step 6: Final answer
    x = 326,860.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.