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Finding the Third Proportional to 307,318.50 and 670,671

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Solution

The third proportional to 307,318.50 and 670,671 is: 1,463,626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,318.50 : 670,671 = 670,671 : x
  2. Step 2: Convert to fraction form
    307,318.50/670,671 = 670,671/x
  3. Step 3: Cross multiply
    307,318.50x = 670,671 × 670,671
  4. Step 4: Simplify right side
    307,318.50x = 449,799,590,241
  5. Step 5: Solve for x
    x = 449,799,590,241/307,318.50
  6. Step 6: Final answer
    x = 1,463,626.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.