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Finding the Third Proportional to 209,968 and 318,839

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Solution

The third proportional to 209,968 and 318,839 is: 484,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,968 : 318,839 = 318,839 : x
  2. Step 2: Convert to fraction form
    209,968/318,839 = 318,839/x
  3. Step 3: Cross multiply
    209,968x = 318,839 × 318,839
  4. Step 4: Simplify right side
    209,968x = 101,658,307,921
  5. Step 5: Solve for x
    x = 101,658,307,921/209,968
  6. Step 6: Final answer
    x = 484,160.96

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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.