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Finding the Third Proportional to 84,997.69 and 115,015.22

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Solution

The third proportional to 84,997.69 and 115,015.22 is: 155,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,997.69 : 115,015.22 = 115,015.22 : x
  2. Step 2: Convert to fraction form
    84,997.69/115,015.22 = 115,015.22/x
  3. Step 3: Cross multiply
    84,997.69x = 115,015.22 × 115,015.22
  4. Step 4: Simplify right side
    84,997.69x = 13,228,500,544.11
  5. Step 5: Solve for x
    x = 13,228,500,544.11/84,997.69
  6. Step 6: Final answer
    x = 155,633.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.