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Finding the Third Proportional to 344,679 and 729,100.50

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Solution

The third proportional to 344,679 and 729,100.50 is: 1,542,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,679 : 729,100.50 = 729,100.50 : x
  2. Step 2: Convert to fraction form
    344,679/729,100.50 = 729,100.50/x
  3. Step 3: Cross multiply
    344,679x = 729,100.50 × 729,100.50
  4. Step 4: Simplify right side
    344,679x = 531,587,539,100.25
  5. Step 5: Solve for x
    x = 531,587,539,100.25/344,679
  6. Step 6: Final answer
    x = 1,542,268.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.