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Finding the Third Proportional to 218,155.50 and 335,205

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Solution

The third proportional to 218,155.50 and 335,205 is: 515,056.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,155.50 : 335,205 = 335,205 : x
  2. Step 2: Convert to fraction form
    218,155.50/335,205 = 335,205/x
  3. Step 3: Cross multiply
    218,155.50x = 335,205 × 335,205
  4. Step 4: Simplify right side
    218,155.50x = 112,362,392,025
  5. Step 5: Solve for x
    x = 112,362,392,025/218,155.50
  6. Step 6: Final answer
    x = 515,056.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.