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Finding the Third Proportional to 218,559 and 332,373

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Solution

The third proportional to 218,559 and 332,373 is: 505,455.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,559 : 332,373 = 332,373 : x
  2. Step 2: Convert to fraction form
    218,559/332,373 = 332,373/x
  3. Step 3: Cross multiply
    218,559x = 332,373 × 332,373
  4. Step 4: Simplify right side
    218,559x = 110,471,811,129
  5. Step 5: Solve for x
    x = 110,471,811,129/218,559
  6. Step 6: Final answer
    x = 505,455.33

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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.