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Finding the Third Proportional to 312,014 and 670,707

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Solution

The third proportional to 312,014 and 670,707 is: 1,441,755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,014 : 670,707 = 670,707 : x
  2. Step 2: Convert to fraction form
    312,014/670,707 = 670,707/x
  3. Step 3: Cross multiply
    312,014x = 670,707 × 670,707
  4. Step 4: Simplify right side
    312,014x = 449,847,879,849
  5. Step 5: Solve for x
    x = 449,847,879,849/312,014
  6. Step 6: Final answer
    x = 1,441,755.43

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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.