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Finding the Third Proportional to 398,586.50 and 605,261.25

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Solution

The third proportional to 398,586.50 and 605,261.25 is: 919,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,586.50 : 605,261.25 = 605,261.25 : x
  2. Step 2: Convert to fraction form
    398,586.50/605,261.25 = 605,261.25/x
  3. Step 3: Cross multiply
    398,586.50x = 605,261.25 × 605,261.25
  4. Step 4: Simplify right side
    398,586.50x = 366,341,180,751.56
  5. Step 5: Solve for x
    x = 366,341,180,751.56/398,586.50
  6. Step 6: Final answer
    x = 919,100.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.