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Finding the Third Proportional to 311,740.52 and 670,100.34

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Solution

The third proportional to 311,740.52 and 670,100.34 is: 1,440,410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,740.52 : 670,100.34 = 670,100.34 : x
  2. Step 2: Convert to fraction form
    311,740.52/670,100.34 = 670,100.34/x
  3. Step 3: Cross multiply
    311,740.52x = 670,100.34 × 670,100.34
  4. Step 4: Simplify right side
    311,740.52x = 449,034,470,693.87
  5. Step 5: Solve for x
    x = 449,034,470,693.87/311,740.52
  6. Step 6: Final answer
    x = 1,440,410.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.