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Finding the Third Proportional to 218,745.56 and 357,189.75

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Solution

The third proportional to 218,745.56 and 357,189.75 is: 583,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,745.56 : 357,189.75 = 357,189.75 : x
  2. Step 2: Convert to fraction form
    218,745.56/357,189.75 = 357,189.75/x
  3. Step 3: Cross multiply
    218,745.56x = 357,189.75 × 357,189.75
  4. Step 4: Simplify right side
    218,745.56x = 127,584,517,505.06
  5. Step 5: Solve for x
    x = 127,584,517,505.06/218,745.56
  6. Step 6: Final answer
    x = 583,255.34

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.