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Finding the Third Proportional to 77,991.38 and 115,839.94

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Solution

The third proportional to 77,991.38 and 115,839.94 is: 172,056.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,991.38 : 115,839.94 = 115,839.94 : x
  2. Step 2: Convert to fraction form
    77,991.38/115,839.94 = 115,839.94/x
  3. Step 3: Cross multiply
    77,991.38x = 115,839.94 × 115,839.94
  4. Step 4: Simplify right side
    77,991.38x = 13,418,891,120.00
  5. Step 5: Solve for x
    x = 13,418,891,120.00/77,991.38
  6. Step 6: Final answer
    x = 172,056.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.