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Finding the Third Proportional to 311,907.38 and 456,738.75

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Solution

The third proportional to 311,907.38 and 456,738.75 is: 668,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,907.38 : 456,738.75 = 456,738.75 : x
  2. Step 2: Convert to fraction form
    311,907.38/456,738.75 = 456,738.75/x
  3. Step 3: Cross multiply
    311,907.38x = 456,738.75 × 456,738.75
  4. Step 4: Simplify right side
    311,907.38x = 208,610,285,751.56
  5. Step 5: Solve for x
    x = 208,610,285,751.56/311,907.38
  6. Step 6: Final answer
    x = 668,821.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.