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Finding the Third Proportional to 419,323.50 and 558,672.75

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Solution

The third proportional to 419,323.50 and 558,672.75 is: 744,330.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,323.50 : 558,672.75 = 558,672.75 : x
  2. Step 2: Convert to fraction form
    419,323.50/558,672.75 = 558,672.75/x
  3. Step 3: Cross multiply
    419,323.50x = 558,672.75 × 558,672.75
  4. Step 4: Simplify right side
    419,323.50x = 312,115,241,592.56
  5. Step 5: Solve for x
    x = 312,115,241,592.56/419,323.50
  6. Step 6: Final answer
    x = 744,330.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.