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Finding the Third Proportional to 102,921 and 208,704

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Solution

The third proportional to 102,921 and 208,704 is: 423,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,921 : 208,704 = 208,704 : x
  2. Step 2: Convert to fraction form
    102,921/208,704 = 208,704/x
  3. Step 3: Cross multiply
    102,921x = 208,704 × 208,704
  4. Step 4: Simplify right side
    102,921x = 43,557,359,616
  5. Step 5: Solve for x
    x = 43,557,359,616/102,921
  6. Step 6: Final answer
    x = 423,211.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.