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Finding the Third Proportional to 218,829 and 332,739

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Solution

The third proportional to 218,829 and 332,739 is: 505,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,829 : 332,739 = 332,739 : x
  2. Step 2: Convert to fraction form
    218,829/332,739 = 332,739/x
  3. Step 3: Cross multiply
    218,829x = 332,739 × 332,739
  4. Step 4: Simplify right side
    218,829x = 110,715,242,121
  5. Step 5: Solve for x
    x = 110,715,242,121/218,829
  6. Step 6: Final answer
    x = 505,944.10

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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.