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Finding the Third Proportional to 128,362.38 and 295,821.65

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Solution

The third proportional to 128,362.38 and 295,821.65 is: 681,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,362.38 : 295,821.65 = 295,821.65 : x
  2. Step 2: Convert to fraction form
    128,362.38/295,821.65 = 295,821.65/x
  3. Step 3: Cross multiply
    128,362.38x = 295,821.65 × 295,821.65
  4. Step 4: Simplify right side
    128,362.38x = 87,510,448,839.83
  5. Step 5: Solve for x
    x = 87,510,448,839.83/128,362.38
  6. Step 6: Final answer
    x = 681,745.31

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.