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Finding the Third Proportional to 77,480.25 and 109,107.38

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Solution

The third proportional to 77,480.25 and 109,107.38 is: 153,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,480.25 : 109,107.38 = 109,107.38 : x
  2. Step 2: Convert to fraction form
    77,480.25/109,107.38 = 109,107.38/x
  3. Step 3: Cross multiply
    77,480.25x = 109,107.38 × 109,107.38
  4. Step 4: Simplify right side
    77,480.25x = 11,904,419,279.39
  5. Step 5: Solve for x
    x = 11,904,419,279.39/77,480.25
  6. Step 6: Final answer
    x = 153,644.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.