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Finding the Third Proportional to 340,449.75 and 494,692.31

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Solution

The third proportional to 340,449.75 and 494,692.31 is: 718,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,449.75 : 494,692.31 = 494,692.31 : x
  2. Step 2: Convert to fraction form
    340,449.75/494,692.31 = 494,692.31/x
  3. Step 3: Cross multiply
    340,449.75x = 494,692.31 × 494,692.31
  4. Step 4: Simplify right side
    340,449.75x = 244,720,484,046.60
  5. Step 5: Solve for x
    x = 244,720,484,046.60/340,449.75
  6. Step 6: Final answer
    x = 718,815.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.