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Finding the Third Proportional to 208,897 and 318,241

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Solution

The third proportional to 208,897 and 318,241 is: 484,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,897 : 318,241 = 318,241 : x
  2. Step 2: Convert to fraction form
    208,897/318,241 = 318,241/x
  3. Step 3: Cross multiply
    208,897x = 318,241 × 318,241
  4. Step 4: Simplify right side
    208,897x = 101,277,334,081
  5. Step 5: Solve for x
    x = 101,277,334,081/208,897
  6. Step 6: Final answer
    x = 484,819.48

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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.